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首页> 外文期刊>Physica Scripta: An International Journal for Experimental and Theoretical Physics >Soliton solutions for some x-dependent nonlinear evolution equations
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Soliton solutions for some x-dependent nonlinear evolution equations

机译:某些x相关的非线性发展方程的孤子解

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摘要

Under investigation in this paper are two x-dependent nonlinear evolution equations: the generalized x-dependent nonlinear Schr?dinger (NLS) equation and the modified Korteweg–de Vries (KdV) equation. With the help of Hirota method and symbolic computation, the one- and two-soliton solutions have been obtained for the generalized x-dependent NLS and KdV equations. Propagation and evolution of one soliton have been investigated through the physical quantities of amplitude, width and velocity. The effects of the parameters in the equations on the interaction of two solitons have been studied analytically and graphically.
机译:本文正在研究的是两个x相关的非线性演化方程:广义x相关的非线性薛定ding(NLS)方程和改进的Korteweg-de Vries(KdV)方程。借助Hirota方法和符号计算,已经获得了广义x相关NLS和KdV方程的一孤子解和两孤子解。已经通过振幅,宽度和速度的物理量研究了一个孤子的传播和演化。已经通过分析和图形研究了方程中参数对两个孤子相互作用的影响。

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