Soliton and periodic solutions for time-dependent coefficient non-linear equation
DOI10.1080/17455030.2015.1112049zbMath1367.35060OpenAlexW2206454252MaRDI QIDQ4976174
Publication date: 27 July 2017
Published in: Waves in Random and Complex Media (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/17455030.2015.1112049
ansatz methodmodified sine-cosine methodgeneralized \((3+1)\)-dimensional variable coefficient Kadomtsev Petviashvili equation
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Periodic solutions to PDEs (35B10) Soliton solutions (35C08)
Related Items (4)
Cites Work
- Application of Exp-function method to a KdV equation with variable coefficients
- Explicit bi-soliton-like solutions for a generalized KP equation with variable coefficients
- A one-soliton solution of the \(ZK(m,n,k)\) equation with generalized evolution and time-dependent coefficients
- Application of the \((\frac{G'}{G})\)-expansion method for nonlinear evolution equations
- Applications of the extended tanh method for coupled nonlinear evolution equations
- Jacobian elliptic function method for nonlinear differential-difference equations
- Further improved F-expansion and new exact solutions for nonlinear evolution equations
- New doubly periodic and multiple soliton solutions of the generalized (3 + 1)-dimensional Kadomtsev-Petviashvilli equation with variable coefficients
- Dark soliton and periodic wave solutions of nonlinear evolution equations
- Nonlinear variants of KdV and KP equations with compactons, solitons and periodic solutions
- The tanh method for traveling wave solutions of nonlinear equations
- New exact solutions to KdV equations with variable coefficients or forcing
- The improved F-expansion method and its applications
- Exact solutions for a compound KdV-Burgers equation
- Multiple-soliton solutions for the KP equation by Hirota's bilinear method and by the tanh-coth method
- A note on the homogeneous balance method
- Extended tanh-function method and its applications to nonlinear equations
- Analytical spatiotemporal soliton solutions to (3+1)-dimensional cubic-quintic nonlinear Schrödinger equation with distributed coefficients
- New solitons and periodic wave solutions for some nonlinear physical models by using the sine–cosine method
- Two-dimensional periodic permanent waves in shallow water
- Optical solitons in medium with parabolic law nonlinearity and higher order dispersion
- Some exact solutions of generalized Zakharov system
- On optical solitons of the resonant Schrödinger’s equation in optical fibers with dual-power law nonlinearity and time-dependent coefficients
- Traveling wave solutions for time-dependent coefficient nonlinear evolution equations
- New soliton solutions for Sasa–Satsuma equation
- Exact solutions of nonlinear Schrodinger’s equation with dual power-law nonlinearity by extended trial equation method
- The unified Kadomtsev–Petviashvili equation for interfacial waves
- Variable coefficient equations of the Kadomtsev–Petviashvili hierarchy: multiple soliton solutions and singular multiple soliton solutions
- On a generalized Kadomtsev–Petviashvili equation with variable coefficients via symbolic computation
- Jacobi elliptic function expansion method and periodic wave solutions of nonlinear wave equations
This page was built for publication: Soliton and periodic solutions for time-dependent coefficient non-linear equation
