Modified Kudryashov method for finding exact solitary wave solutions of higher-order nonlinear equations
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Publication:3067824
DOI10.1002/mma.1349zbMath1206.35063OpenAlexW2043097044MaRDI QIDQ3067824
A. Khajeh, A. Yousefi Koma, M. M. Kabir, E. Abdi Aghdam
Publication date: 13 January 2011
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mma.1349
Nonlinear waves in solid mechanics (74J30) Nonlinear higher-order PDEs (35G20) Solutions to PDEs in closed form (35C05) Other special methods applied to PDEs (35A25) Traveling wave solutions (35C07) Soliton solutions (35C08)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- New periodic and soliton wave solutions for the generalized Zakharov system and \((2 + 1)\)-dimensional Nizhnik-Novikov-Veselov system
- Popular ansatz methods and solitary wave solutions of the Kuramoto-Sivashinsky equation
- A modified tanh-coth method for solving the general Burgers-Fisher and the Kuramoto-Sivashinsky equations
- Seven common errors in finding exact solutions of nonlinear differential equations
- New solitary wave solutions to the Kuramoto-Sivashinsky and the Kawahara equations
- Variational iteration method -- a kind of non-linear analytical technique: Some examples
- Exp-function method for nonlinear wave equations
- Variational iteration method -- some recent results and new interpretations
- New periodic and soliton solutions by application of exp-function method for nonlinear evolution equations
- Exp-function method for solving Kuramoto-Sivashinsky and Boussinesq equations
- New multiple soliton solutions to the general Burgers-Fisher equation and the Kuramoto-Sivashinsky equation
- A coupling method of a homotopy technique and a perturbation technique for nonlinear problems
- Approximate analytical solution for seepage flow with fractional derivatives in porous media
- An application of the ADM to seven-order Sawada--Kotara equations
- A note on the homogeneous balance method
- Nonlinear oscillator with discontinuity by parameter-expansion method
- Application of homotopy perturbation method to nonlinear wave equations
- Exact solutions of compact and noncompact structures for the KP-BBM equation
- Scattering for the forced non-linear Schrödinger equation with a potential on the half-line
- Application of He's methods for laminar flow in a porous-saturated pipe
- Periodic solution for strongly nonlinear vibration systems by He's variational iteration method
- Exact solitary wave solutions of nonlinear evolution and wave equations using a direct algebraic method
- The Schrödinger equation and a multidimensional inverse scattering transform
- The tanh method: a tool for solving certain classes of non‐linear PDEs
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