Especially indicate the relation between projection operation and the soliton solution.
特别是说明了投影算子与孤子解之间的联系。
This paper presents a closed ideal solution to the nerve wave equation and also discusses its soliton solution.
本文给出了神经波方程的闭理想解法并且讨论了它的孤立子解。
In this pater, using parametric transform method direct derive soliton wave equation of loss optical fibers and elementary soliton solution.
本文用参量变换法直接导出了有耗光纤的孤波方程及其基态孤子解。
In Chapter 1, briefly introduce the concept of noncommutative space and nori-commutative field theory, review the history and important results of studying the noncommutative soliton solution.
第一章，简要介绍非对易的概念及非对易场论，回顾前人在非对易孤子解方面的研究。
The purpose of the present paper is using the nonlinearization approach to study the explicit finite-parameter solution to the difficult (2+1) dimensional soliton equation.
本文主要是用非线性化方法来研究困难的（2+1）维孤子方程的显式的有限参数解的。
In this paper, variable separation solution and soliton excitations of the (1 + 1) -dimensional generalised shallow water wave equation are obtained.
研究(1 + 1)维广义的浅水波方程的变量分离解和孤子激发模式。
Using the mathematical theory of soliton wave to study the stress wave of an oil pipe, we show that it has the property of soliton wave and obtain an expression of its solution.
利用孤子波的数学理论到圆截面直筒油管的应力波传播的研究，得出了这类应力波具有孤子波的性质，并导出了它的解的表示式。这对研究弹性圆管应力传输问题是有帮助的。
An analytical solution is obtained for soliton pulse propagation in nonlinear media with gain saturation and gain dispersion in this paper.
本文获得了增益色散和增益饱和非线性介质中的光孤子脉冲的解析解。
A moving solution for soliton excitation of a one-dimensional molecular-crystal model with the dispersion term is found.
本文得到考虑了色散项后的一维分子晶体模型的孤子激发的运动解。
Then, based on the fundamental equation, we present the chirped femtosecond soliton-like solution by ansatz method and discuss the transmission property of the soliton-like solution in optical fiber.
随后，我们利用拟解方法给出飞秒啁啾类孤波解的解析表达式，并讨论该解在光纤系统中的传输特性。
A photovoltaic spatial soliton theory of duotone signal beam with monochrone background beam is presented, and a solution of bright soliton has been obtained by a numberical method.
基于空间暗光孤子诱导波导的模式特性以及光波在波导间耦合理论，提出了一种实现光控可变定向耦合器的方法。
A photovoltaic spatial soliton theory of duotone signal beam with monochrone background beam is presented, and a solution of bright soliton has been obtained by a numberical method.
基于空间暗光孤子诱导波导的模式特性以及光波在波导间耦合理论，提出了一种实现光控可变定向耦合器的方法。
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