Numerical soliton-like solutions of the potential Kadomtsev-Petviashvili equation by the decomposition method
From MaRDI portal
Publication:1418060
DOI10.1016/j.physleta.2003.11.021zbMath1065.35219OpenAlexW2042381599MaRDI QIDQ1418060
Publication date: 6 January 2004
Published in: Physics Letters. A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physleta.2003.11.021
KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99)
Related Items
A note on the Adomian decomposition method for the generalized Huxley equation, Analysis of stability of traveling wave for Kadomtsev-Petviashvili equation, Application of Exp-function method to potential Kadomtsev-Petviashvili equation, Symmetry reduced and new exact non-traveling wave solutions of potential Kadomtsev-Petviashvili equation with \(p\)-power, Numerical study of blow up and stability of solutions of generalized Kadomtsev-Petviashvili equations, High-order breather, M-kink lump and semi-rational solutions of potential Kadomtsev–Petviashvili equation, Exact and numerical solutions of generalized Drinfeld-Sokolov equations, Variational problems with moving boundaries using decomposition method, The twin properties of rogue waves and homoclinic solutions for some nonlinear wave equations, Numerical study of oscillatory regimes in the Kadomtsev-Petviashvili equation, An application of the modified Adomian decomposition method for (\(N + 1\))-dimensional sine-Gordon field, Comparing numerical methods for the solutions of the Chen system, Symmetry reductions and new exact non-traveling wave solutions of potential Kadomtsev-Petviashvili equation with p-power, Painlevé test for the certain (2 + 1)-dimensional nonlinear evolution equations, An implementation of the ADM for generalized one-dimensional Klein-Gordon equation, Approximate Jacobi elliptic function solutions of the modified KdV equation via the decomposition method, Some exact solutions to the potential Kadomtsev-Petviashvili equation and to a system of shallow water wave equations, Bäcklund transformation and soliton interactions for the Zakharov-Kuznetsov equation in plasmas, Accuracy of the Adomian decomposition method applied to the Lorenz system, An application of the decomposition method for the two-dimensional KdV-Burgers equation, Adomian decomposition method for nonlinear differential-difference equations, Exact periodic kink-wave and degenerative soliton solutions for potential Kadomtsev-Petviashvili equation, New periodic and soliton solutions by application of exp-function method for nonlinear evolution equations, MULTI-SOLITON SOLUTIONS AND THEIR INTERACTIONS FOR THE (2+1)-DIMENSIONAL SAWADA-KOTERA MODEL WITH TRUNCATED PAINLEVÉ EXPANSION, HIROTA BILINEAR METHOD AND SYMBOLIC COMPUTATION, A numerical application of the decomposition method for the combined KdV-MKdV equation, Numerical doubly periodic solution of the KdV equation with the initial condition via the decomposition method
Cites Work
- Generalized tanh method with symbolic computation and generalized shallow water wave equation
- A review of the decomposition method in applied mathematics
- Solving frontier problems of physics: the decomposition method
- Decomposition methods: A new proof of convergence
- Convergence of Adomian's method applied to differential equations
- An explicit and numerical solutions of some fifth-order KdV equation by decomposition method
- Symbolic computation and various exact solutions of potential Kadomtsev-Petviashvili equation.
- New soliton-like solutions to the potential Kadomtsev-Petviashvili (PKP) equation.
- An application of the decomposition method for the generalized KdV and RLW equations
- Comparing numerical methods for Helmholtz equation model problem.
- New solitonic solutions to a \((3+1)\)-dimensional Jimbo-Miwa equation
- An application for a generalized KdV equation by the decomposition method
- Compactons dispersive structures for variants of the \(K(n,n)\) and the KP equations
- A new modification of the Adomian decomposition method for linear and nonlinear operators
- On the extended applications of homogeneous balance method
- On a generalized fifth order KdV equation
- An application of the ADM to seven-order Sawada--Kotara equations
- New ideas for proving convergence of decomposition methods
- New family of overturning soliton solutions for a typical breaking soliton equation
- Nonlinear dynamical systems: On the accuracy of Adomian's decomposition method
- A new formulation of Adomian method
- New families of exact solutions to the integrable dispersive long wave equations in 2+1-dimensional spaces
- New numerical study of Adomian method applied to a diffusion model
- On the solution of a korteweg-de vries like equation by the decomposition method
- Exact solutions of the two-dimensional Burgers equation
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item