Collocation method with quintic b-spline method for solving hirota-satsuma coupled KDV equation
نویسندگان
چکیده
منابع مشابه
Numerical Solution of Hirota-Satsuma Coupled MKdV Equation with Quantic B-Spline Collocation Method
Collocation method using quintic B-splines finite element have been developed for solving numerically the HirotaSatsuma coupled MKdV equation. Accuracy of the proposed method is shown numerically by calculating conservation laws, 2 L and L norms on studying of a soliton solution. It is shown that the collocation scheme for solutions of the MKdV equation gives rise to smaller errors and is qui...
متن کاملHomotopy Perturbation Method for the Generalized Hirota-Satsuma Coupled KdV Equation
In this paper, we consider the homotopy perturbation method (HPM) to obtain the exact solution of Hirota-Satsuma Coupled KdV equation. The results reveal that the proposed method is very effective and simple and can be applied to other nonlinear mathematical problems.
متن کاملMulti-component generalizations of the Hirota-Satsuma coupled KdV equation
In this paper, we consider multi-component generalizations of the Hirota–Satsuma coupled Korteweg–de Vries (KdV) equation. By introducing a Lax pair, we present a matrix generalization of the Hirota–Satsuma coupled KdV equation, which is shown to be reduced to a vector Hirota–Satsuma coupled KdV equation. By using Hirota's bilinear method, we find a few soliton solutions to the vector Hirota–Sa...
متن کاملThe application of homotopy analysis method to solve a generalized Hirota–Satsuma coupled KdV equation
Here, an analytic technique, namely the homotopy analysis method (HAM), is applied to solve a generalized Hirota–Satsuma coupled KdV equation. HAM is a strong and easy-to-use analytic tool for nonlinear problems and dose not need small parameters in the equations. Comparison of the results with those of Adomian’s decomposition method (ADM) and homotopy perturbation method (HPM), has led us to s...
متن کاملExact traveling wave solutions for a generalized Hirota–Satsuma coupled KdV equation by Fan sub-equation method
Article history: Received 28 January 2011 Received in revised form 28 March 2011 Accepted 22 April 2011 Available online 29 April 2011 Communicated by R. Wu
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ژورنال
عنوان ژورنال: International Journal of Applied Mathematical Research
سال: 2016
ISSN: 2227-4324
DOI: 10.14419/ijamr.v5i2.6138