Soliton like and multi-soliton like solutions for the Boiti–Leon–Pempinelli equation
✍ Scribed by Zhuosheng Lü; Hongqing Zhang
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 92 KB
- Volume
- 19
- Category
- Article
- ISSN
- 0960-0779
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✦ Synopsis
The sine-Gordon equation or the sinh-Gordon equation are related to the Boiti-Leon-Pempinelli (BLP) equation by certain transformation [Inv. Probl. 3 (1987) 37; Theor. Math. Phys. 100 (1994) 1075]. In this paper, we construct explicit exact solutions for the BLP equation by using a further extended tanh method [Phys. Lett. A. 307 (2003) 269); Chaos, Solitons & Fractals 17 ( 2003) 669] and symbolic computation system Maple. We obtain abundant soliton like, multisoliton like and period form solutions of the equation.
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This paper is devoted to studying the solutions of the modified Ginzburg-Landau equation with variable coefficient. Based on computerized symbolic computation, several families of new exact dark-and bright-soliton-like solutions are presented. Moreover, we derive some similarity solutions, which can
In this paper, abundant new soliton-like and period form solutions for certain (2 þ 1)-and (3 þ 1)-dimensional physically important nonlinear evolution equations are obtained by using a newly extended tanh method and symbolic computation system, Maple.