Interactions between exotic multi-valued solitons of the (2+1)-dimensional Korteweg-de Vries equation describing shallow water wave
Applied Mathematical Modelling, ISSN: 0307-904X, Vol: 80, Page: 506-515
2020
- 71Citations
- 4Captures
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Article Description
Korteweg-de Vries equation governs the weakly nonlinear long wave whose phase speed reaches a simple maximum of wave with the infinite length in shallow water wave. The exponential-form variable separation solution of (2+1)-dimensional Kortweg-de Vries equation is found via the two-function method, and this solution covers many special combined solutions including sinh-cosh,sin-cos,sech-tanh,csch-coth,sec-tan and csc-cot solutions. From the exponential-form solution with choosing suitable functions, inelastic interactions between special multi-valued solitons with two loops such as anti-bell-shaped, anti-peak-shaped semifoldons and anti-foldon are graphically and analytically studied. By the asymptotic analysis, phase shift and its difference during interactions between multi-valued solitons are analytically given.
Bibliographic Details
http://www.sciencedirect.com/science/article/pii/S0307904X19307413; http://dx.doi.org/10.1016/j.apm.2019.11.056; http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=85076479162&origin=inward; https://linkinghub.elsevier.com/retrieve/pii/S0307904X19307413; https://dx.doi.org/10.1016/j.apm.2019.11.056
Elsevier BV
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