Search results

This paper aims to study the breather, lump-kink and interaction solutions of a (3 + 1)-dimensional generalized shallow water waves (GSWW) equation, which describes water waves propagating in the ocean or is used for simulating weather.

Hirota bilinear form and the direct method are used to construct breather and lump-kink solutions of the GSWW equation. The “rational-cosh-cos-type” test function is applied to obtain three kinds of interaction solutions.

The fusion and fission of the interaction solutions between a lump wave and a 1-kink soliton of the GSWW equation are studied. The dynamics of three kinds of interaction solutions between lump, kink and periodic waves are discussed graphically.

This paper studies the breather, lump-kink and interaction solutions of the GSWW equation by using various approaches and provides some phenomena that have not been studied.

This study aims to explore the interactions between two different and potentially complementary boundary resources in coordinating solution networks in a digital platform context: boundary spanners (those individuals who span interorganizational boundaries) and boundary interfaces (the devices that help coordinate interfirm relationships, e.g. electronic data interchanges, algorithms or chatbots).

The authors conducted a multiple case study of three firms using digital platforms to coordinate solution networks in the information communication technology and lighting facility industries. Data were collected from 30 semi-structured interviews, which are complemented by secondary data.

As task complexity increases, smarter digital interfaces are adopted. When the intelligence level of interfaces is low or moderate, they are only used as tools by boundary spanners or to support boundary spanners’ functions. When the intelligence level of interfaces is high or very high, boundary spanners design the interfaces and let them perform tasks autonomously. They are also sometimes employed to complement interfaces’ technological limitations and customers’ limited user ability.

The industry contexts of the cases may influence the results. Qualitative case data has limited generalizability.

This study offers a practical tool for solution providers to effectively deploy boundary employees and digital technologies to offer diverse customized solutions simultaneously.

This study contributes to the solution business literature by putting forward a framework of boundary resource interactions in coordinating solution networks in a digital platform context. It contributes to the boundary spanning literature by revealing the shifting functions of boundary spanners and boundary interfaces.

The purpose of this paper was to show that the generalised viscosity model can correctly characterise suspension data over both a wide range of concentration as well as a wide range of temperature. A second objective of this study was to show theoretically and experimentally how the interaction coefficient from the generalised viscosity model also appears to have some thermodynamic properties.

In this study, many well‐known suspension equations were shown mathematically to be subsets of the generalised viscosity equation. The generalised viscosity equation was also found to be able to be reduced mathematically to two well‐known dilute solution equations (Huggins and Kramer's equations) as well. The relationship between Huggins and Kramer's constants and the interaction coefficient from the generalised viscosity equation yielded the potential to evaluate the solubility characteristics of the interaction coefficient. The value of the interaction coefficient was then found to be able to be evaluated as a function of temperature to enhance an understanding of the thermodynamic characteristics of the interaction coefficient using the data of Bueche.

In this study, a polymer plasticiser system involving polymethyl methacrylate in the plasticiser diethyl phthalate yielded an interaction coefficient, σ, primarily in the expected plasticiser range from 0< σ<1. It was also found that the generalised viscosity equation fit Bueche's polymer plasticiser data remarkably well over the whole concentration range for temperatures ranging from 30°C to 140°C. This study also appeared to show that the interaction coefficient from the generalised viscosity model can apparently characterise thermal transitions as well as thermodynamic solubility for a polymer solute (i.e. polymethyl methacrylate) when viscosity is evaluated over a wide temperature range. This result was particularly significant since Bueche's data covered 25 decades of viscosity on a log scale.

This is the first paper to successfully explore the thermodynamic characteristics of the interaction coefficient of the generalised viscosity equation. This opens up new avenues for evaluating the solubility and thermodynamic characteristics of various additives in solutions and polymeric formulations.

The purpose of this study is to examine the lump solutions of the (3 + 1)-dimensional nonlinear evolution equations by considering a (3 + 1)-dimensional generalized Kadomtsev–Petviashvili (gKP) equation and a (3 + 1)-dimensional variable-coefficient generalized B-type Kadomtsev–Petviashvili (vcgBKP) equation as examples.

Based on Hirota’s bilinear theory, a direct method is used to examine the lump solutions of these two equations.

The complete non-elastic interaction solutions between a lump and a stripe are also discussed for the equations, which show that the lump solitons are swallowed by the stripe solitons.

The dynamics of these solutions are analyzed to enrich the diversity of the dynamics of high-dimensional KP-type nonlinear wave equations.

The purpose of this paper is to study the new (3 + 1)-dimensional integrable fourth-order nonlinear equation which is used to model the shallow water waves.

By means of the Cole–Hopf transform, the bilinear form of the studied equation is extracted. Then the ansatz function method combined with the symbolic computation is implemented to construct the breather, multiwave and the interaction wave solutions. In addition, the subequation method tis also used to search for the diverse travelling wave solutions.

The breather, multiwave and the interaction wave solutions and other wave solutions like the singular periodic wave structure and dark wave structure are obtained. To the author’s knowledge, the solutions obtained are all new and have never been reported before.

The solutions obtained in this work have never appeared in other literature and can be regarded as an extension of the solutions for the new (3 + 1)-dimensional integrable fourth-order nonlinear equation.

Perspective-taking is an overlooked relational competence that matters to interaction, problem-solving and cooperation in inter-organizational buyer–seller relationships. This paper aims to distinguish perspective-taking from empathy with which it has often been associated. It uses aptitude theory to propose a conceptualization of perspective-taking consisting of perspective-taking ability and motivation components that are used to explore the scope of perspective-taking in customer–supplier relationships.

An experiment and survey, are conducted among customer managers to apply and test measures to capture the ability and motivation components of the perspective-taking aptitude. The two perspective-taking components are used to propose a 2 × 2 matrix that provides a four-type typology, labelled: “talented”, “ineffectual”, “fervent” and “indifferent”. Data are collected from a sample of senior managers of manufacturing firms responsible for the dyadic relationship with a business support agency.

The data supports the presence and distribution of the four typologies among customers in business relationships and regression analysis confirms the impact of the proposed perspective-taking typology types on customer–supplier cooperation. The different combinations of the perspective-taking dimensions of ability and motivation that make up the perspective-taking aptitude type result in different dispositions to cooperate. “Talented” and “ineffectual” members with high and low perspective-taking ability and motivation scores, respectively, provide the highest and lowest cooperation dispositions. “Fervent” and “indifferent” members occupy an intermediate perspective-taking aptitude on the typology, with the former impacting cooperation moderately and the latter not found to be significant.

Understanding counterparts, inferring their motives and anticipating reactions, is a critical capacity for mutual dyadic adjustments in customer–supplier relationships in business markets. Such an understanding of perspective-taking can prove useful to effective interaction, solution development and relationship building, as interacting managers belonging to different typology types exhibit different levels of cooperation. In addition, an understanding of perspective-taking can prove useful to identify the right talent that can foster effective interaction and solution development in customer–supplier relationships. It also raises the issue as to how best sellers can interact to influence the perspective-taking of buyers in their quest to achieve better solutions and cooperation.

Provides a useful supplement to theory by bringing perspective-taking, grounded in aptitude theory, as an essential relational competence in business marketing that can provide an additional explanation to cooperation and joint problem-solving in inter-organizational business relationships. The paper develops and proposes a typology of perspective-taking that brings together ability and motivation dimensions, operationalizes and assessed their measures and tests the impact of the proposed perspective-taking typology types on cooperation in customer–supplier interaction.

The purpose of this paper is to study the homoclinic breather waves, rogue waves and multi-soliton waves of the (2 + 1)-dimensional Mel’nikov equation, which describes an interaction of long waves with short wave packets.

The author applies the Hirota’s bilinear method, extended homoclinic test approach and parameter limit method to construct the homoclinic breather waves and rogue waves of the (2 + 1)-dimensional Mel’nikov equation. Moreover, multi-soliton waves are constructed by using the three-wave method.

The results imply that the (2 + 1)-dimensional Mel’nikov equation has breather waves, rogue waves and multi-soliton waves. Moreover, the dynamic properties of such solutions are displayed vividly by figures.

This paper presents efficient methods to find breather waves, rogue waves and multi-soliton waves for nonlinear evolution equations.

The outcome suggests that the extreme behavior of the homoclinic breather waves yields the rogue waves. Moreover, the multi-soliton waves are constructed, including the new breather two-solitary and two-soliton solutions. Meanwhile, the dynamics of these solutions will greatly enrich the diversity of the dynamics of the (2 + 1)-dimensional Mel’nikov equation.

The purpose of this paper is to study the breather waves, rogue waves and solitary waves of an extended (3 + 1)-dimensional Kadomtsev–Petviashvili (KP) equation, which can be used to depict many nonlinear phenomena in fluid dynamics and plasma physics.

The authors apply the Bell’s polynomial approach, the homoclinic test technique and Hirota’s bilinear method to find the breather waves, rogue waves and solitary waves of the extended (3 + 1)-dimensional KP equation.

The results imply that the extended (3 + 1)-dimensional KP equation has breather wave, rogue wave and solitary wave solutions. Meanwhile, the authors provide the graphical analysis of such solutions to better understand their dynamical behavior.

These results may help us to further study the local structure and the interaction of solutions in KP-type equations. The authors hope that the results provided in this work can help enrich the dynamic behavior of such equations.

To explore the emergent characteristics of IT portfolios in business-to-business (B2B) firms. The goal is to develop a model that clarifies what interaction capabilities B2B firms develop and to what form of IT this corresponds to.

We apply an a priori conceptual framework that is based on the Industrial Marketing and Purchasing (IMP) Group's theoretical focus on business relationships. The framework depicts the business relationship as dealing with uncertainty and equivocality as well as building and upholding reliance and trust. We utilize a case study approach involving a focal firm and ten of its customers and suppliers. Building on 60 interviews, field observations and archival data, we analyze interviewee responses and the complementary data to evaluate the role of IT in supporting or automated various aspects of organizational relationships.

Results show how “high tech” and “high touch” relate to different interaction capabilities, which firms develop based on the characteristics of their business relationships. Although IT is associated with “high tech” and “high touch” interaction capabilities, some forms of IT are deployed to support the former, while other forms support the later. Both forms of technology-enabled interaction capabilities require investment, and firms must balance investment costs against the value created by improved interaction capabilities.

Our findings emphasize the interorganizational perspective (dyadic or network) rather than a solely organizational perspective for understanding IT portfolio development. This perspective is presented through an emergent tech–touch interaction capability model that shows how B2B firms can align their IT portfolio based on the specific characteristics of their business relationships.

Little is known about the variations in service co-creation on social media, despite the resource integrating capabilities and co-creator roles afforded by these platforms. The gap is even more troubling in the nonprofit sector, where leveraging public interaction on social media is prevalent and vital to charitable and philanthropic endeavors. Arguably, such interaction is embedded in resource integrating activities leading to nonprofit service co-creation. This paper reports the forms, dimensions or service co-creation measures enabled by social media use in the nonprofits' sector.

The authors conducted a sequential exploratory mixed methods design. First, the authors interviewed 19 social media managers in education, health and social service nonprofit organizations to identify the varieties in service co-creation realized. Second, the authors surveyed 73 nonprofit organizations on social media and gathered 267 useable responses, which were used to analyze and validate the identified forms of service co-creation.

The authors found that nonprofit organizations realize up to seven forms of service co-creation using social media. These include co-ideating to tweak service ideas, co-diagnosing social needs and problems, co-assessing service events, co-transforming services to targeted communities, co-advocating for community and service reach, co-resourcing in service delivery, and co-experiencing through a pool of diverse service experiences.

This study develops a reliable and valid multidimensional measure for nonprofit service co-creation enabled by social media platforms. Theoretically, this study offers a nonprofit service co-creation model to drive nuanced explanatory research and service co-creation perspectives in other contexts and engagement platforms. Managerially, this research illustrates the variations in service co-creation, which inform the strategic value of social media to nonprofits and will assist nonprofit practitioners in planning and evaluating their service co-creation outcomes.