New soliton-like solutions for KdV equation with variable coefficient
From MaRDI portal
Publication:1957376
DOI10.1016/J.PHYSLETA.2005.08.024zbMath1195.35275OpenAlexW2073483745MaRDI QIDQ1957376
Xiqiang Zhao, Li-Min Wang, Deng-bin Tang
Publication date: 27 September 2010
Published in: Physics Letters. A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physleta.2005.08.024
Related Items (20)
Trial equation method for solving the generalized Fisher equation with variable coefficients ⋮ Sub-ODE method and soliton solutions for the variable-coefficient mKdV equation ⋮ A new variable coefficient Korteweg-de Vries equation-based sub-equation method and its application to the \((3 + 1)\)-dimensional potential-YTSF equation ⋮ On soliton solutions for the Fitzhugh-Nagumo equation with time-dependent coefficients ⋮ New Jacobi elliptic function-like solutions for the general KdV equation with variable coefficients ⋮ Construction and analysis of some nonstandard finite difference methods for the <scp>FitzHugh–Nagumo</scp> equation ⋮ Exact solutions of variable coefficient nonlinear diffusion-reaction equations with a nonlinear convective term ⋮ On the generalized Kadomtsev-Petviashvili equation with generalized evolution and variable coefficients ⋮ Bright and dark soliton solutions and Bäcklund transformation for the Eckhaus-Kundu equation with the cubic-quintic nonlinearity ⋮ Exact and traveling-wave solutions for convection-diffusion-reaction equation with power-law nonlinearity ⋮ Soliton-like solutions of certain types of nonlinear diffusion-reaction equations with variable coefficient ⋮ Analytical study on the generalized fifth-order Kaup-Kupershmidt equation from the shallow water wave ⋮ A new method for finding traveling wave solutions of the generalized KdV equation with variable coefficient ⋮ Bright and dark soliton solutions for a \(K(m,n)\) equation with \(t\)-dependent coefficients ⋮ Conservation laws, symmetry reductions, and new exact solutions of the (2 + 1)-dimensional Kadomtsev-Petviashvili equation with time-dependent coefficients ⋮ INTEGRABLE PROPERTIES FOR A GENERALIZED NON-ISOSPECTRAL AND VARIABLE-COEFFICIENT KORTEWEG–DE VRIES MODEL ⋮ Solitary wave solutions for a generalized KdV-mKdV equation with variable coefficients ⋮ Traveling wave solutions for fifth-order KdV type equations with time-dependent coefficients ⋮ N-SOLITON SOLUTIONS, AUTO-BÄCKLUND TRANSFORMATIONS AND LAX PAIR FOR A NONISOSPECTRAL AND VARIABLE-COEFFICIENT KORTEWEG-DE VRIES EQUATION VIA SYMBOLIC COMPUTATION ⋮ Soliton solutions for a generalized fifth-order KdV equation with t-dependent coefficients
Cites Work
- A new note on a homogeneous balance method
- The periodic wave solutions for the Klein-Gordon-Schrödinger equations
- Construction of new soliton-like solutions for the (2 + 1) dimensional KdV equation with variable coefficients
- Spherical Kadomtsev-Petviashvili equation and nebulons for dust ion-acoustic waves with symbolic computation
- On the solitonic structures of the cylindrical dust-acoustic and dust-ion-acoustic waves with symbolic computation
- Extended tanh-function method and its applications to nonlinear equations
- Solitary wave solutions of nonlinear wave equations
- Nonpropagating solitons of the variable coefficient and nonisospectral Korteweg–de Vries equation
- Painlevé property, auto-Bäcklund transformation, Lax pairs, and reduction to the standard form for the Korteweg–De Vries equation with nonuniformities
- Generalized hyperbolic-function method with computerized symbolic computation to construct the solitonic solutions to nonlinear equations of mathematical physics
This page was built for publication: New soliton-like solutions for KdV equation with variable coefficient