Exact solutions of some nonlinear partial differential equations using the variational iteration method linked with Laplace transforms and the Padé technique
DOI10.1016/j.camwa.2006.12.067zbMath1141.65382OpenAlexW2058910832MaRDI QIDQ928791
Magdy A. El-Tawil, Tamer A. Abassy, H. El Zoheiry
Publication date: 11 June 2008
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2006.12.067
Laplace transformcompactonsBurger's equationPadé approximantvariational iteration methodZakharov-Kuznetsov equation
KdV equations (Korteweg-de Vries equations) (35Q53) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Padé approximation (41A21) Laplace transform (44A10) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)
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Cites Work
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- Variational iteration method for solving Burgers and coupled Burgers equations
- Variational iteration method -- a kind of non-linear analytical technique: Some examples
- Toward a modified variational iteration method
- Solving frontier problems of physics: the decomposition method
- The tanh method: A tool for solving certain classes of nonlinear evolution and wave equations.
- An aftertreatment technique for improving the accuracy of Adomian's decomposition method
- Nonlinear dispersive special type of the Zakharov--Kuznetsov equation ZK(\(n\),\(n\)) with compact and noncompact structures
- A sine-cosine method for handling nonlinear wave equations
- New explicit and exact travelling wave solutions for a system of dispersive long wave equations
- The solution of KdV and mKdV equations using Adomian Padé approximation
- The tanh method for traveling wave solutions of nonlinear equations
- The solution of Burgers' and good Boussinesq equations using ADM-Padé technique
- Construction of solitary solution and compacton-like solution by variational iteration method
- Solitary wave solutions of nonlinear wave equations
- The inverse scattering transform: Semi-infinite interval
- Compactons: Solitons with finite wavelength
- Theory of a Solid State Plasma Waveguide in a Transverse Magnetic Field
- SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS
- An Approximate Solution for One-Dimensional Weakly Nonlinear Oscillations
- A new approach to nonlinear partial differential equations
- Variational iteration method for autonomous ordinary differential systems