Multi-soliton of the (2+1)-dimensional Calogero-Bogoyavlenskii-Schiff equation and KdV equation

	Multi-soliton of the (2+1)-dimensional Calogero-Bogoyavlenskii-Schiff equation and KdV equation
Computational Methods for Differential Equations
مقاله 7، دوره 7، شماره 1، فروردین 2019، صفحه 86-95 اصل مقاله (969.02 K)
نوع مقاله: Research Paper
نویسنده
Harun-Or- Roshid^*
Department of Mathematics, Pabna University of Science and Technology, Bangladesh
چکیده
A direct rational exponential scheme is offered to construct exact multi-soliton solutions of nonlinear partial differential equation. We have considered the Calogero–Bogoyavlenskii–Schiff equation and KdV equation as two concrete examples to show efficiency of the method. As a result, one wave, two wave and three wave soliton solutions are obtained. Corresponding potential energy of the soliton solutions are also found. Furthermore, three-dimensional plots of the wave solutions and its potential functions are given to visualize the dynamics of the model and their energy. We also provided the corresponding density plot of the solutions to understand the real direction and particles density in the waves which help to realize the elastic situations of the achieved solutions.
کلیدواژه‌ها
Direct rational exponential scheme؛ Calogero–Bogoyavlenskii–Schiff equation؛ KdV equation؛ Multi-soliton solutions

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