New solutions of distinct physical structures to high-dimensional nonlinear evolution equations
DOI10.1016/j.amc.2007.06.002zbMath1133.65087OpenAlexW2003409322MaRDI QIDQ2474898
Publication date: 6 March 2008
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2007.06.002
nonlinear evolution equationstravelling wave solutionsJimbo-Miwa equationCalogero-Bogoyavlenskii-Schiff equationpotential Yu-Toda-Sasa-Fukuyama equationthe tanh-coth method
Soliton equations (35Q51) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Initial value problems for nonlinear first-order PDEs (35F25)
Related Items (31)
Uses Software
Cites Work
- Unnamed Item
- New types of localized coherent structures in the Bogoyavlenskii-Schiff equation
- The extended tanh method for abundant solitary wave solutions of nonlinear wave equations
- New solitary wave and periodic wave solutions to the (2 + 1)-dimensional Nizhnik-Novikov-Veselov system
- Variable separation solutions for the \((3+1)\)-dimensional Jimbo-Miwa equation
- Symbolic computations of conserved densities for systems of nonlinear evolution equations
- New families of nontravelling wave solutions to a new (3+1)-dimensional potential-YTSF equation
- Compactons in a class of nonlinear dispersive equations.
- Distinct variants of the KdV equation with compact and noncompact structures.
- Compactons dispersive structures for variants of the \(K(n,n)\) and the KP equations
- Variants of the generalized KdV equation with compact and noncompact structures
- The tanh method for traveling wave solutions of nonlinear equations
- New solutions of the \(3+1\) dimensional Jimbo-Miwa equation
- Soliton solutions to the Jimbo-Miwa equations and the Fordy-Gibbons-Jimbo-Miwa equation
- New solitons and kinks solutions to the Sharma-Tasso-Olver equation
- The tanh-coth method for solitons and kink solutions for nonlinear parabolic equations
- The tanh-coth method for new compactons and solitons solutions for the \(K(n, n)\) and the \(K(n + 1, n + 1)\) equations
- New extended rational expansion method and exact solutions of Boussinesq equation and Jimbo-Miwa equations
- The Painlevé test and reducibility to the canonical forms for higher-dimensional soliton equations with variable-coefficients
- Symbolic computation of exact solutions expressible in hyperbolic and elliptic functions for nonlinear PDEs
- The Calogero-Bogoyavlenskii-Schiff equation in \(2+1\) dimensions
- Existence and Nonexistence of Solitary Wave Solutions to Higher-Order Model Evolution Equations
- Nsoliton solutions to the Bogoyavlenskii-Schiff equation and a quest for the soliton solution in (3 1) dimensions
- The tanh method: II. Perturbation technique for conservative systems
- The tanh method: I. Exact solutions of nonlinear evolution and wave equations
This page was built for publication: New solutions of distinct physical structures to high-dimensional nonlinear evolution equations