孤波
- solitary wave;soliton
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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 .
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一类一维阵列的孤波特征
Character as Solitary Wave in a Certain One-dimensional array
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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
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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
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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
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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.
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Burgers方程新的多孤波解
New multi - solitary wave solution of the burgers ' equation
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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
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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
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2N+1阶KdV型方程的孤波解
Solitary wave solutions to the 2 n + 1 order KdV type equations
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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
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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
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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 .
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热带大气运动的Rossby孤波
Solitary Rossby waves of tropical atmospheric motion
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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 .
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(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
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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
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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
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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 .
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广义Davey-Stewartson方程的新孤波解
New soliton wave solutions of the generalized Davey-Stewartson equations
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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 .
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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 .
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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 .
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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 .
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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
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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 .
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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 .
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高阶(2+1)维BroerKaup方程的孤波解
Some new soliton wave solutions for ( 2 + 1 ) - dimensional Broer-Kaup equations
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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 .
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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 .