(2+1)维长色散波动方程的简单孤子解方法

Acta Physica Sinica (overseas Edition) Pub Date : 1999-05-20 DOI:10.1088/1004-423X/8/5/002

Zhang Jie-fang, Wu Feng-min

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引用次数: 5

摘要

给出了求解(2+1)维长色散波动方程的一种简单直接的方法。为了将该方程简化为三个耦合的线性和双线性偏微分方程，我们引入了变量相关变换，并给出了单孤子解和双孤子解以及(1,N)推进解。

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A simple soliton solution method for the (2+1) dimensional long dispersive wave equations

A simple and direct method is presented to solve the (2+1) dimensional long dispersive wave equation. We introduced a variable dependent transformation in order to convert this equation into the simple forms, which are three coupled linear and bilinear partial differential equations, and give the single and double soliton solutions and the (1, N) dromion solution.

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Acta Physica Sinica (overseas Edition)

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