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- Title
Multi-waves, breather wave and lump–stripe interaction solutions in a (2 + 1)-dimensional variable-coefficient Korteweg–de Vries equation.
- Authors
Liu, Jian-Guo; Zhu, Wen-Hui; Zhou, Li; Xiong, Yao-Kun
- Abstract
Under investigation is a ( 2 + 1 )-dimensional variable-coefficient Korteweg–de Vries equation, which is used to describe the electrostatic wave potential in plasmas or shallow-water waves in fluids. Our work is mainly divided into three aspects: (1) lump–stripe interaction solutions are obtained by the Hirota's bilinear form with variable coefficients; (2) multi-waves solutions are presented based on three waves method with variable coefficients; (3) breather wave solutions are given by the homoclinic breather approach. Furthermore, interaction phenomenon of these obtained solutions are demonstrated by some 3D- and contour plots.
- Subjects
KORTEWEG-de Vries equation; PLASMA electrostatic waves; SHALLOW-water equations; WAVES (Fluid mechanics); BILINEAR forms; PLASMA waves
- Publication
Nonlinear Dynamics, 2019, Vol 97, Issue 4, p2127
- ISSN
0924-090X
- Publication type
Article
- DOI
10.1007/s11071-019-05110-6