孤波

获得了其多种形式的显式精确解，包括孤波解、三角函数解、有理函数解、Jacobi椭圆函数周期解和Weierstrass椭圆函数周期解，进一步丰富了这两类方程的解。

A variety of explicit exact solutions , such as solitary wave , triangular periodic , rational , Jacobi and Weierstrass elliptic function periodic solutions are obtained .

一类一维阵列的孤波特征

Character as Solitary Wave in a Certain One-dimensional array

单模光纤波导中的非相干N孤波相互作用

Incoherent N-soliton Interaction in Monomode Optical Fiber Waveguides

修正的F展开法和推广的KdV方程新的孤波解和精确解

The extended F-expansion method and new exact solutions of the generalized KdV equation

非线性长波方程组和Benjamin方程的新精确孤波解

New type of exact solitary wave solutions for dispersive long-wave equation and Benjamin equation

这种方法利用非线性发展方程孤立波的局部性特点，把非线性方程的孤波解表示为函数f和g的多项式。

With the local character of solitary wave , the solution of a nonlinear equation was written as the polynomial of function f and g.

Burgers方程新的多孤波解

New multi - solitary wave solution of the burgers ' equation

惯性区低-β等离子体中的动力学Alfvén孤波

Solitary kinetic Alfven waves in inertial limit region with low - β plasma

变系数KP方程新的类孤波解和解析解

New solitary wave-like solution and exact solution of variable coefficient KP equation

2N＋1阶KdV型方程的孤波解

Solitary wave solutions to the 2 n + 1 order KdV type equations

离子非线性极化漂移对动力学Alfvér孤波特性的影响

The influence of ion 's nonlinear polarization drift on the character of solitary kinetic Alfven wave

广义五阶KdV方程的孤波解与孤子解

Exact solitary wave and soliton solutions of the generalized fifth order KdV equation

并指出Burgers型方程不存在钟状孤波解。

And we point out there are no bell solitary wave solutions for Burgers ' type equation .

热带大气运动的Rossby孤波

Solitary Rossby waves of tropical atmospheric motion

本文通过函数的正切函数变换给出Fisher方程的新孤波解。

This paper proposes a new kind of solitary wave solution to Fisher Equation through a function ′ s tangent function variation .

（2+1）维非线性Burgers方程变量分离解和新型孤波结构新编辑手记

Variable separation solution and new soliton structures in the ( 2 + 1 ) - dimensional nonlinear Burgers equations

复变系数Ginzburg-Landau方程的啁啾组合孤波解

Chirped Combined Solitary wave Solutions of the Complex Ginzburg-Landau Equation with Variable Coefficients

Toda非线性晶格动力学方程孤波解的实指数方法研究

Real exponential approach of toda nonlinear lattice dynamical equation

从理论上导出了浅水中KdV方程的孤波解，分析了其解的性质及产生孤波解的原因。

Solitary wave solution of KdV function in shallow water is introduced , the characters and its causation are analyzed theoretically .

广义Davey-Stewartson方程的新孤波解

New soliton wave solutions of the generalized Davey-Stewartson equations

介绍了喷泉码的基本概念和特点，分析了度分布的设计，如理想孤波分布和鲁棒孤波分布，LT码编码过程和译码过程，然后阐述了Raptor码和AR码的基本原理。

The basic concept and characteristic of fountain codes are introduced , degree distribution and the encoding progress and the decoding algorithm of fountain codes are analyzed .

用Darboux变换法，对描述超短脉冲在光纤中传输的Hirota方程进行详细地讨论，给出Hirota方程N-孤波解的普遍表达式。

The N-soliton solutions for the integrable Hirota equation are presented by using the Darboux transformation method .

将扩展的椭圆函数展开法应用到ModifiedImprovedBoussinesq方程，得到了新的解析周期解，包含冲击波解、孤波解和双曲函数解。

Extended elliptic function expansion method is applied to the solution of Modified Improved Boussinesq function , and new analytic periodic solutions to it is obtained , including the shock wave solution , solitary wave solution , and hyperbolic solution .

选取Lagrange乘子，再用广义变分迭代方法得到了孤波的任意次精度的近似解。

Next , its Lagrange operator is selected ; and then , using the generalized variational iteration method , the approximate solution of arbitrary degree of accuracy for the solitary wave is obtained .

BBM型方程与BBM-Burgers型方程孤波解的条件稳定性

Conditional stability of the solitary wave solutions to BBM type equations and BBM-Burgers type equations

作者用该方法求解了（2+1）维KdV型方程，得到了方程的多种新的孤波解。

We apply this method to find the solitary solutions of ( 2 + 1 ) - dimensional KdV equation and obtain many new solitary solutions .

最后，研究了一些非线性发展方程的孤波解，如Chaffee-Infante方程、耦合Schrodinger方程的孤波解。

Then we study several nonlinear evolution equations , for example , Chaffee-Infante equation and nonlinear coupled Schrodinger equation .

高阶（2+1）维BroerKaup方程的孤波解

Some new soliton wave solutions for ( 2 + 1 ) - dimensional Broer-Kaup equations

由非线性波动方程出发，应用慢变色络近似条件，推导出光孤波在SDG光纤中传播的非线性动力学方程。

A basic nonlinear dynamical equation for soliton propagation in semiconductor-doped glass fibres is derived from the nonlinear wave equation using the slowly varying envelope approximation .

由于动力学Alfven孤波允许平行电场存在，故它对等离子体中带电粒子的加速和能化起重要作用；

Because of the SKAW having the parallel electric field , the solitary wave is important for the acceleration and energy transmission of charged particles in magnetic plasma .