基本解释：孤[立]子
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Characteristic of soliton in martensitic transformation interface;马氏体相变界面的孤[立]子特性
Coherent structure and soliton—An essential paradigm of nonlinear science;拟序结构和孤[立]子—非线性科学的实质性范例
New homoclinic orbits and soliton solutions for the classical Boussinesq equations;经典Boussinesq方程的新同宿轨和孤[立]子解
The isolated submodules play important roles in the study of rings and categories of modules.本文讨论了环与模范畴中一个重要的子模类—孤[立]子模的一些性质以及它与强不可约子模等之间的一些联系,并引入了强孤[立]子模和局部孤[立]子模的概念,探讨了它们的一系列性质,在第一章中,介绍了模论的发展,模论在代数的发展中所起的重要作用以及素子模,素根和孤[立]子模的发展现状;在第二章中,给出了与本课题有关的重要概念及其结论。
The research on Hamiltonian integrable systems is one of the most important topics in the theory of solitons.由Hamiltonian方程发展而来的Hamiltonian可积系统是现代孤[立]子理论的重要组成部分。
Firstly,the existence of solitons associated with the ground states is obtained by variational calculus,and then the instability of the solitons is proved according to the result.首先利用变分法得出了具基态的孤[立]子的存在性 ,然后根据这个结果和有关定理证明了该孤[立]子的不稳定
Sufficient conditions for the shorter curve of soliton solutions of KdV equations;一类孤[立]子解为短程线的充分条件
Multi-soliton solution of the Faddeev model;Faddeev模型中的多孤[立]子解
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
Peaked soliton solutions of shallow water wave equations on nonlinear strength;非线性强度下浅水波方程的尖峰孤[立]子解
Some solutions are obtained which include bright soliton solutions,dark soliton solutions,Jacobi elliptic function doubly periodical solutions,triangular solutions,and a new type of soliton solutions by this method.将范恩贵教授最近提出的新代数法推广应用到Zakharov方程组,比较方便地得到了新的解析周期解,包括亮孤子解、暗孤子解J、acobi椭圆函数双周期解、三角函数解和一种新形式的孤[立]子解等。
