1) complex traveling wave solution
复行波解
1.
By using hyperbolic tangent method,the complex traveling wave solutions to the nonlinear Gross-Pitaevskii equation are obtained.
Hyperbolic tangent法是研究非线性微分方程的有力工具,通过利用hyperbolic tangent法得到非线性Gross-Pitaevskii方程的复行波解。
3) travelling wave solution
行波解
1.
Exact travelling wave solutions to the Davey-Stewartson I equation;
Davey-Stewartson I方程的精确行波解(英文)
2.
The explicit plane travelling wave solutions to nonlinear Ur-KdV equation;
非线性Ur-KdV方程的显式平面行波解
3.
Exact travelling wave solutions and concave or convex peaked and smooth soliton solutions of Camassa-Holm equation;
Camassa-Holm方程的精确行波解及其凹凸尖峰与光滑孤立子解
4) traveling wave solution
行波解
1.
New traveling wave solution for Degasperis-Procesi equation;
Degasperis-Procesi方程的一类新的行波解
2.
Searching for explicit traveling wave solutions of the NLS equation by means of deformation mapping method;
形变映射法求非线性薛定谔方程的显示精确行波解
3.
Exact traveling wave solutions to (2+1)-dimensional Bousenisq equation;
2+1维Bousenisq方程的精确行波解
5) traveling wave solutions
行波解
1.
Two types traveling wave solutions for b-equation;
b-方程类的二类行波解
2.
The parallelism traveling wave solutions to the nonlinear evolvement equations in the photorefractive crystal;
光折变晶体中非线性演化方程的类行波解
3.
We study the traveling wave solutions for the Coupled modified Kadomtsev-Petviashvili(CMKP) equations.
考虑耦合修正Kadomtsev-Petviashvili(CMKP)方程的行波解,通过一个适当的变换,将耦合修正Kadomtsev-Petviashvili(CMKP)方程转化为一个同解方程,然后对该方程进行波变化,把求偏微分方程问题转为求解常微分方程,最后通过引进高阶辅助方程,得到了CMKP方程的一些新的精确行波解。
6) traveling wave
行波解
1.
Instability of traveling waves of nonlinear evolution equation;
一类非线性发展方程行波解的不稳定性
2.
By constructing the traveling wave,the necessary condition and some special properties are gained.
文章研究了一类消失项为εxxu+ε2τ1 xxtu+ε2τ2 xxxu时非凸保守场方程的激波解(弱解),通过构造行波的方法得到了近似方程行波解存在的必要条件,并讨论了该行波解的若干性质。
3.
The asymptotic perturbation method is used to deal with the Cahn Hilliard equation and obtain the inner and outer solutions of traveling waves.
主要利用奇异摄动方法，得到一维ＣａｈｎＨｉｌｉａｒｄ方程行波解形式的内、外解。
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