Exact periodic cross-kink wave solutions and breather type of two-solitary wave solutions for the (3 + 1)-dimensional potential-YTSF equation

AbstractIn this paper, the (3+1)-dimensional potential-YTSF equation is investigated. Exact solutions with three-wave form including periodic cross-kink wave, periodic two-solitary wave and breather type of two-solitary wave solutions are obtained using Hirota’s bilinear form and generalized three-wave approach with the aid of symbolic computation. Moreover, the properties for some new solutions are shown with some figures

New multi-soliton solutions for generalized Burgers-Huxley equation

The double exp-function method is used to obtain a two-soliton solution of the generalized Burgers-Huxley equation. The wave has two different velocities and two different frequencies

Advances in Nonlinear Complexity Analysis for Partial Differential Equations

1 p. -- [Editorial Material

Various Heteroclinic Solutions for the Coupled Schrödinger-Boussinesq Equation

Various closed-form heteroclinic breather solutions including classical heteroclinic, heteroclinic breather and Akhmediev breathers solutions for coupled Schrödinger-Boussinesq equation are obtained using two-soliton and homoclinic test methods, respectively. Moreover, various heteroclinic structures of waves are investigated

Abundant new exact solutions for the (3+1)-dimensional Jimbo–Miwa equation

AbstractIn this paper, by using the generalized Riccati equation mapping method, and picking up its new solutions authors obtain abundant new exact solutions including kink solutions, periodic form solutions, soliton-like solutions and rational solutions to a (3+1)-dimensional Jimbo–Miwa equation, respectively