multiwave interaction
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2021 ◽  
Author(s):  
Yuxin Qin ◽  
Yinping Liu ◽  
Guiqiong Xu

Abstract In this paper, by introducing new traveling wave transformations in specific nonlinear forms, a variety of new multiwave interaction solutions for two higher dimensional nonlinear evolution equations with time-dependent coefficients are investigated. These new kinds of multiwave solutions can enrich solutions of nonlinear evolution equations with variable coefficients.


2020 ◽  
Vol 34 (35) ◽  
pp. 2050405
Author(s):  
Wenying Cui ◽  
Wei Li ◽  
Yinping Liu

In this paper, for the (3+1)-dimensional extended Jimbo–Miwa equation, by the direct algebraic method, together with the inheritance solving strategy, we construct its interaction solutions among solitons, rational waves, and periodic waves. Meanwhile, we construct its interaction solutions among solitons, breathers, and lumps of any higher orders by an [Formula: see text]-soliton decomposition algorithm, together with the parameters conjugated assignment and long-wave limit techniques. The highlight of the paper is that by applying new algorithms and new techniques, we obtained different types of new multiwave interaction solutions for the (3+1)-dimensional extended Jimbo–Miwa equation.


Author(s):  
Thomas Gallot ◽  
Alison Malcom ◽  
Thomas L. Szabo ◽  
Dan Burns ◽  
Stephen Brown ◽  
...  

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