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孤子微扰的广义KdV方程直解(英文)
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作者 陈昌永 《娄底师专学报》 2001年第4期18-25,共8页
基于微分算符展开和分离变量方法 ,非线性演化的孤子微扰方程直解方法已由颜家壬及其同事发展起来。利用这一方法可处理微扰的广义KdV方程 ,所获得的结果更具有普遍性 。
关键词 孤子 微扰方程 广义KDV方程 量子光学 微分算符 分离变量方法
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Dispersive Traveling Wave Solution for Non-Linear Waves Dynamical Models
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作者 Kwasi Boateng Weigou Yang +1 位作者 Michael Ezra Otoo David Yaro 《Journal of Applied Mathematics and Physics》 2019年第10期2467-2480,共14页
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 ... 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. 展开更多
关键词 Simple EQUATION Method TRAVELING WAVE SOLUTIONS generalized kortewegde vries (gkdv) Sawada-Kotera EQUATION (Ske)
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