Exact solutions of a class of nonlinear dispersive long wave systems via Feng's first integral method

In this paper, eight groups of exact solutions for the (1+1)-dimensional and (2+1)-dimensional nonlinear dispersive long wave systems are found respectively via Feng's first integral method. It is shown that there are some similarities in the expressions of the solutions of (1+1)-dimensional an...

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Published inAIMS mathematics Vol. 6; no. 8; pp. 7984 - 8000
Main Authors Lu, Qiuci, Zhang, Songchuan, Zheng, Hang
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2021
Subjects
division theorem
exact solutions
feng's first integral method
nonlinear dispersive long wave equations
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ISSN2473-6988
2473-6988
DOI10.3934/math.2021464

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Abstract In this paper, eight groups of exact solutions for the (1+1)-dimensional and (2+1)-dimensional nonlinear dispersive long wave systems are found respectively via Feng's first integral method. It is shown that there are some similarities in the expressions of the solutions of (1+1)-dimensional and (2+1)-dimensional DLWEs, while there exist some differences in their dimensions and their physical significance. Finally, some graphs are presented to show these features, which also show the effectiveness of the proposed method.
AbstractList In this paper, eight groups of exact solutions for the (1+1)-dimensional and (2+1)-dimensional nonlinear dispersive long wave systems are found respectively via Feng's first integral method. It is shown that there are some similarities in the expressions of the solutions of (1+1)-dimensional and (2+1)-dimensional DLWEs, while there exist some differences in their dimensions and their physical significance. Finally, some graphs are presented to show these features, which also show the effectiveness of the proposed method.
Author Lu, Qiuci
Zheng, Hang
Zhang, Songchuan
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SubjectTerms division theorem
exact solutions
feng's first integral method
nonlinear dispersive long wave equations
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