New solitonic solutions to a \((3+1)\)-dimensional Jimbo-Miwa equation

DOI10.1016/S0898-1221(00)00043-2zbMath0945.35079MaRDI QIDQ1570152

Woo-Pyo Hong, Kwang Sik Oh

Publication date: 20 August 2000

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

computerized symbolic computationJimbo-Miwa equationnew analytic solutions

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Software, source code, etc. for problems pertaining to partial differential equations (35-04)

Related Items

The decomposition method for solving (2+1)-dimensional Boussinesq equation and (3+1)-dimensional KP equation, The solitonic features of a nonintegrable (3+1)-dimensional Jimbo-Miwa equation, Classification of all single traveling wave solutions of \((3+1)\)-dimensional Jimbo-Miwa equation with space-time fractional derivative, Bilinear Bäcklund transformation, soliton and periodic wave solutions for a \((3 + 1)\)-dimensional variable-coefficient generalized shallow water wave equation, New interaction solutions for the \((3+1)\)-dimensional Jimbo-Miwa equation, New soliton-like solutions to the potential Kadomtsev-Petviashvili (PKP) equation., Constructing families of soliton-like solutions to a \((2+1)\)-dimensional breaking soliton equation using symbolic computation, Symbolic computation and observable effect for the (2 + 1)-dimensional symmetric regularized-long-wave equation from strongly magnetized cold-electron plasmas., Numerical soliton-like solutions of the potential Kadomtsev-Petviashvili equation by the decomposition method, An algebraic method exactly solving two high-dimensional nonlinear evolution equations, Explicit periodic solitary wave solutions for the \((2+1)\)-dimensional Boussinesq equation, Solutions of Jimbo-Miwa equation and Konopelchenko-Dubrovsky equations, Exact Solutions to (3+1) Conformable Time Fractional Jimbo–Miwa, Zakharov–Kuznetsov and Modified Zakharov–Kuznetsov Equations

Uses Software

• Maple

Cites Work

• Solitons and infinite dimensional Lie algebras
• Exact solutions to KdV equations with variable coefficients and/or nonuniformities
• Symbolic computation in engineering: Application to a breaking soliton equation
• On an analytical method and soliton-typed solutions for certain variable-coefficient partial differential equations in nonlinear mechanics
• Are all the equations of the Kadomtsev–Petviashvili hierarchy integrable?
• Exact solutions to the two-dimensional Korteweg-de Vries-Burgers equation
• Stability of a Fluid Layer with Time-Dependent Density Gradients