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This paper is devoted to the generalized Kadomtsev–Petviashvili I equation. This study aims to propose a new approach for investigation for the existence of at least one global classical solution and the existence of at least two nonnegative global classical solutions. The main arguments in this paper are based on some recent theoretical results.

This paper is devoted to the generalized Kadomtsev–Petviashvili I equation. This study aims to propose a new approach for investigation for the existence of at least one global classical solution and the existence of at least two nonnegative global classical solutions. The main arguments in this paper are based on some recent theoretical results.

This paper is devoted to the generalized Kadomtsev–Petviashvili I equation. This study aims to propose a new approach for investigation for the existence of at least one global classical solution and the existence of at least two nonnegative global classical solutions. The main arguments in this paper are based on some recent theoretical results.

This article is devoted to the generalized Kadomtsev–Petviashvili I equation. This study aims to propose a new approach for investigation for the existence of at least one global classical solution and the existence of at least two nonnegative global classical solutions. The main arguments in this paper are based on some recent theoretical results.

The debate on digitalization in the public relations (PR) literature has fragmented considerably over the past decade because of its focus on upcoming media-technological innovations, required professional skills and management concepts. Yet the field has difficulties in developing an integrative perspective on the implications of digitalization as a broader socio-technological transformation with a balanced consideration of prospects and risks.

This paper proposes an integrative perspective that focuses more on the enduring imaginaries of how digitalization can transform society for better or worse. It traces the historical roots of five imaginaries of digitalization, which have already emerged over the past century yet have experienced a significant revival and popularization in the current debate. Based on these five imaginaries, the authors performed a narrative literature review of the digitalization debate in 10 leading PR journals from 2010 to 2022.

The five imaginaries allow for a systematization of the fragmented digitalization debate in the field, reconstructing recurrent narratives, prospects and risks.

The originality of this contribution lies in its reconstructive approach, tracing societal imaginaries of digitalization and their impact on the current disciplinary debate. This approach provides context for a balanced assessment of and engagement with upcoming, increasingly fragmented digital advancements in PR research and practice.