摄动KDV和耗散NLS方程的近似波解:加权残差法

IF 0.3 Q4 MATHEMATICS, APPLIED

TWMS Journal of Applied and Engineering Mathematics Pub Date : 2019-07-10 DOI:10.26837/JAEM.590449

H. Demiray

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引用次数: 2

摘要

本文将传统的“加权残差法”改进到一些非线性演化方程，并试图得到这些演化方程的渐进波近似解。为了说明该方法，我们研究了摄动KdV和耗散NLS方程的近似递进波解。所得结果与逆散射法的解完全一致。即使在耗散效应相当大的情况下，目前的解也是有效的。所得结果令人鼓舞，该方法可用于柱面和球面演化方程的研究。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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AN APPROXIMATE WAVE SOLUTION FOR PERTURBED KDV AND DISSIPATIVE NLS EQUATIONS: WEIGHTED RESIDUAL METHOD

In the present work, we modified the conventional ”weighted residual method” to some nonlinear evolution equations and tried to obtain the approximate progressive wave solutions for these evolution equations. For the illustration of the method we studied the approximate progressive wave solutions for the perturbed KdV and the dissipative NLS equations. The results obtained here are in complete agreement with the solutions of inverse scattering method. The present solutions are even valid when the dissipative effects are considerably large. The results obtained are encouraging and the method can be used to study the cylindrical and spherical evolution equations.

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来源期刊

TWMS Journal of Applied and Engineering Mathematics MATHEMATICS, APPLIED-

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

53 weeks