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Numerical complexiton solutions for the complex KdV equation by the homotopy perturbation method by Hong-Li An; Yong Chen is a Mathematics article available to read on EtoBox.
What is Numerical complexiton solutions for the complex KdV equation by the homotopy perturbation method about?
In this paper, the homotopy perturbation method is extended to investigate the numerical complexiton solutions of the complex KdV equation. By constructing special forms of initial conditions, three new types of realistic numerical solutions are obtained: numerical positon solution expressed by the trigonometric functions, numerical negaton solution expressed by the hyperbolic functions and particularly the numerical analytical complexiton solutions expressed by combinations of the two kinds of functions. All these numerical solutions obtained can rapidly converge to the exact solutions obtained by Lou et al. Illustrative numerical figures are exhibited the efficiency of the proposed method.
Who reads Numerical complexiton solutions for the complex KdV equation by the homotopy perturbation method?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Hong-Li An; Yong Chen
- Publisher
- Elsevier Science; Elsevier ; Elsevier BV (ISSN 0096-3003)
- Published
- 2008
- Language
- EN
- Field
- Mathematics (Physical Sciences)