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The purpose of this paper is to discuss the integrability studies to the long-short wave equation that is studied in the context of shallow water waves. There are several integration tools that are applied to obtain the soliton and other solutions to the equation. The integration techniques are traveling waves, exp-function method, G′/G-expansion method and several others.

The design of the paper is structured with an introduction to the model. First the traveling wave hypothesis approach leads to the waves of permanent form. This eventually leads to the formulation of other approaches that conforms to the expected results.

The findings are a spectrum of solutions that lead to the clearer understanding of the physical phenomena of long-short waves. There are several constraint conditions that fall out naturally from the solutions. These poses the restrictions for the existence of the soliton solutions.

The results are new and are sharp with Lie symmetry analysis and other advanced integration techniques in place. These lead to the connection between these integration approaches.

The purpose of this paper is to investigate the influence of information adoption, e-WOM, online brand experience and online brand familiarity on consumer online purchase behavior of local fashion clothing brands. The study also examines the influence of central and peripheral route on the consumer information adoption process.

The research design was cross-sectional. A total of 300 respondents from Bangladesh participated in the self-administered survey who have experienced of purchasing local fashion clothing brand online. Only 273 questionnaires were used in final data analysis after discarding incomplete questionnaires. The study applied PLS-SEM to test the proposed model.

Central and peripheral route were found to have positive influences on the consumer information adoption process in the context of online purchasing of local fashion clothing brands. Consumer information adoption was found to influence consumer online purchase behavior positively. The information adoption-consumer purchase behavior relationship was found to be partially mediated by e-WOM. Online brand experience was found to influence consumer online purchase behavior positively. The online brand experience-consumer purchase behavior relationship was found to be partially mediated by online brand familiarity.

So far, no studies have investigated how information adoption, e-WOM, online brand experience and online brand familiarity influence consumer purchase behavior of local fashion clothing brand, in a virtual environment under the perspective of a developing country like Bangladesh. This study is also a pioneer in exploring which dimensions have more leverage on central and peripheral route in information adoption in the context of local fashion clothing brand of Bangladesh.