Application of variational iteration method and homotopy perturbation method to the modified Kawahara equation
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Publication:2389940
DOI10.1016/j.mcm.2008.06.017zbMath1165.35444OpenAlexW2153261118MaRDI QIDQ2389940
Publication date: 20 July 2009
Published in: Mathematical and Computer Modelling (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.mcm.2008.06.017
exact solutionapproximate solutionvariational iteration methodhomotopy perturbation methodmodified kawahara equation
KdV equations (Korteweg-de Vries equations) (35Q53) Theoretical approximation in context of PDEs (35A35) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99)
Related Items (24)
Fractional modified Kawahara equation with Mittag-Leffler law ⋮ New exact solutions of space and time fractional modified Kawahara equation ⋮ Solitary wave solutions with non-monotone shapes for the modified Kawahara equation ⋮ Analytical solution of time fractional Kawahara and modified Kawahara equations by homotopy analysis method ⋮ New solitary solutions and a conservative numerical method for the Rosenau-Kawahara equation with power law nonlinearity ⋮ Exact solitary solution and a three-level linearly implicit conservative finite difference method for the generalized Rosenau-Kawahara-RLW equation with generalized Novikov type perturbation ⋮ Bell-shaped soliton solutions and travelling wave solutions of the fifth-order nonlinear modified Kawahara equation ⋮ Dynamic stability of the Kawahara equation under the effect of a boundary finite memory ⋮ Solution of Kawahara equation using a predictor-corrector and RBF-QR method ⋮ Two structure-preserving schemes with fourth-order accuracy for the modified Kawahara equation ⋮ Approximate analytic solutions of the modified Kawahara equation with homotopy analysis method ⋮ VARIATIONAL PERSPECTIVE TO FRACTAL KAWAHARA MODEL IN MICROGRAVITY SPACE ⋮ Construction of soliton solutions for modified Kawahara equation arising in shallow water waves using novel techniques ⋮ Energy decay for the modified Kawahara equation posed in a bounded domain ⋮ Unnamed Item ⋮ A new implicit energy conservative difference scheme with fourth-order accuracy for the generalized Rosenau-Kawahara-RLW equation ⋮ Open-loop optimal controller design using variational iteration method ⋮ New Approach to Identifying Solitary Wave Solutions of Modified Kawahara Equation ⋮ A linearly implicit conservative difference scheme for the generalized Rosenau-Kawahara-RLW equation ⋮ Exact solitary solutions of an inhomogeneous modified nonlinear Schrödinger equation with competing nonlinearities ⋮ Well-posedness and controllability of Kawahara equation in weighted Sobolev spaces ⋮ Analytical solutions to the pulsed Klein-Gordon equation using modified variational iteration method (MVIM) and Boubaker polynomials expansion scheme (BPES) ⋮ Stable soliton solutions to the shallow water waves and ion-acoustic waves in a plasma ⋮ Two stability results for the Kawahara equation with a time-delayed boundary control
Cites Work
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