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Dispersive Traveling Wave Solution for Non-Linear Waves Dynamical Models

Dispersive Traveling Wave Solution for Non-Linear Waves Dynamical Models
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摘要 In waves dynamics, Generalized Kortewegde Vries (gKdV) equation and Sawada-Kotera equation (Ske) have been used to study nonlinear acoustic waves, an inharmonic lattice and Alfven waves in a collisionless plasma, and a lot of more important physical phenomena. In this paper, the simple equation method (SEM) is used to obtain new traveling wave solutions of gKdv and Ske. The physical properties of the obtained solutions are graphically illustrated using suitable parameters. The computational simplicity of the proposed method shows the robustness and efficiency of SEM. In waves dynamics, Generalized Kortewegde Vries (gKdV) equation and Sawada-Kotera equation (Ske) have been used to study nonlinear acoustic waves, an inharmonic lattice and Alfven waves in a collisionless plasma, and a lot of more important physical phenomena. In this paper, the simple equation method (SEM) is used to obtain new traveling wave solutions of gKdv and Ske. The physical properties of the obtained solutions are graphically illustrated using suitable parameters. The computational simplicity of the proposed method shows the robustness and efficiency of SEM.
出处 《Journal of Applied Mathematics and Physics》 2019年第10期2467-2480,共14页 应用数学与应用物理(英文)
关键词 Simple EQUATION Method TRAVELING WAVE SOLUTIONS GENERALIZED Kortewegde Vries (gKdV) Sawada-Kotera EQUATION (Ske) Simple Equation Method Traveling Wave Solutions Generalized Kortewegde Vries (gKdV) Sawada-Kotera Equation (Ske)
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