Exact three-wave solutions for the \((3+1)\)-dimensional Jimbo-Miwa equation
From MaRDI portal
Publication:636625
DOI10.1016/j.camwa.2010.08.070zbMath1219.35242OpenAlexW1993014815MaRDI QIDQ636625
Zhengde Dai, Jun Liu, Zi-Tian Li
Publication date: 28 August 2011
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2010.08.070
Symbolic computation and algebraic computation (68W30) KdV equations (Korteweg-de Vries equations) (35Q53) Soliton solutions (35C08)
Related Items (19)
Bäcklund transformation and solutions of a \((3+1)\)-dimensional nonlinear evolution equation ⋮ Exact three-wave solutions for the \((3+1)\)-dimensional Boiti-Leon-Manna-Pempinelli equation ⋮ Classification of all single traveling wave solutions of \((3+1)\)-dimensional Jimbo-Miwa equation with space-time fractional derivative ⋮ Dark soliton and periodic wave solutions of nonlinear evolution equations ⋮ Exact solution of \((4+1)\)-dimensional Boiti-Leon-Manna-Pempinelli equation ⋮ New interaction solutions for the \((3+1)\)-dimensional Jimbo-Miwa equation ⋮ Breather wave solutions for the generalized shallow water wave equation with variable coefficients in the atmosphere, rivers, lakes and oceans ⋮ Two-layer fluid formation and propagation of periodic solitons induced by \((3+1)\)-dimensional KP equation ⋮ Exact periodic cross-kink wave solutions for the \((2+1)\)-dimensional Korteweg-de Vries equation ⋮ Homoclinic breather and rogue wave solutions to Maccari equation ⋮ General lump-type solutions of the \((3+1)\)-dimensional Jimbo-Miwa equation ⋮ Soliton molecules and some interaction solutions for the (3+1)-dimensional Jimbo-Miwa equation ⋮ Theta function solutions of the 3 + 1-dimensional Jimbo-Miwa equation ⋮ Lump and lump-kink solutions of the \((3+1)\)-dimensional Jimbo-Miwa and two extended Jimbo-Miwa equations ⋮ New variable separation solutions of two-dimensional Burgers system ⋮ A study of lump-type and interaction solutions to a (3+1)-dimensional Jimbo-Miwa-like equation ⋮ Integrability, bilinearization, solitons and exact three wave solutions for a forced Korteweg-de Vries equation ⋮ Dromion-like soliton interactions for nonlinear Schrödinger equation with variable coefficients in inhomogeneous optical fibers ⋮ Novel solitary wave solutions for the \((3+1)\)-dimensional extended Jimbo-Miwa equations
Uses Software
Cites Work
- Unnamed Item
- A generalized new auxiliary equation method and its applications to nonlinear partial differential equations
- Comment on: ``On the extended applications of homogeneous balance method
- Solitons and infinite dimensional Lie algebras
- Exact three-wave solutions for the KP equation
- An automated \(\tanh\)-function method for finding solitary wave solutions to nonlinear evolution equations
- Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
- AN ELEMENTARY INTRODUCTION TO RECENTLY DEVELOPED ASYMPTOTIC METHODS AND NANOMECHANICS IN TEXTILE ENGINEERING
This page was built for publication: Exact three-wave solutions for the \((3+1)\)-dimensional Jimbo-Miwa equation