1. A new generalized KdV equation: Its lump-type, complexiton and soliton solutions.
- Author
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Hosseini, K., Salahshour, S., Baleanu, D., Mirzazadeh, M., and Dehingia, K.
- Subjects
- *
SHALLOW-water equations , *BACKLUND transformations , *WATER waves , *WATER depth , *EQUATIONS - Abstract
A new generalized KdV equation, describing the motions of long waves in shallow water under the gravity field, is considered in this paper. By adopting a series of well-organized methods, the Bäcklund transformation, the bilinear form and diverse wave structures of the governing model are formally extracted. The exact solutions listed in this paper are categorized as lump-type, complexiton, and soliton solutions. To exhibit the physical mechanism of the obtained solutions, several graphical illustrations are given for particular choices of the involved parameters. As a direct consequence, diverse wave structures given in this paper enrich the studies on the KdV-type equations. [ABSTRACT FROM AUTHOR]
- Published
- 2022
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