N-soliton solutions and elastic interaction of the coupled lattice soliton equations for nonlinear waves

Wen X.-Y.; Gao Y.-T.

首页> 外文期刊>Applied mathematics and computation >N-soliton solutions and elastic interaction of the coupled lattice soliton equations for nonlinear waves

【24h】

N-soliton solutions and elastic interaction of the coupled lattice soliton equations for nonlinear waves

机译：非线性波的孤子解的N孤子解和弹性相互作用

获取原文

获取原文并翻译 | 示例

获取外文期刊封面封底 >>

开具论文收录证明 >>

文献代查 >>

页面导航

摘要
著录项
相似文献
相关主题

摘要

With the aid of symbolic computation, a coupled set of the lattice soliton equations is investigated via Darboux transformation (DT) method. The N-fold DT and conservation laws are constructed based on its Lax representation. The N-soliton solutions in terms of the Vandermonde-like determinants are derived. Structures of the one-, two-, three- and four-soliton solutions are shown graphically. Elastic interactions among the four solitons are discussed: solitonic shapes and amplitudes have not changed after the interaction. Results in this paper might be helpful for understanding the propagation of nonlinear waves.

机译：借助于符号计算，通过达布变换（DT）方法研究了一组晶格孤子方程组。 N倍DT和守恒定律是基于其Lax表示构造的。推导了以范德蒙德样行列式表示的N孤子解。一，二，三和四孤子解决方案的结构以图形方式显示。讨论了四个孤子之间的弹性相互作用：相互作用后，孤子的形状和振幅没有改变。本文的结果可能有助于理解非线性波的传播。

著录项

来源
《Applied mathematics and computation》 |2012年第1期|共9页
作者
Wen X.-Y.; Gao Y.-T.;
展开▼
作者单位

展开▼
收录信息
原文格式 PDF
正文语种 eng
中图分类
关键词
Conservation laws; Coupled lattice soliton equation; Elastic interaction; N-fold Darboux transformation; N-soliton solutions; Symbolic computation;

机译：守恒律;耦合孤子方程;弹性相互作用;N折Darboux变换;N孤子解;符号计算;

相似文献

外文文献
中文文献
专利

1. N-soliton solutions and elastic interaction of the coupled lattice soliton equations for nonlinear waves [J] . Wen X.-Y., Gao Y.-T. Applied mathematics and computation . 2012,第1期

机译：非线性波的孤子解的N孤子解和弹性相互作用
2. Bilinear forms, N-soliton solutions and soliton interactions for a fourth-order dispersive nonlinear Schr?dinger equation in condensed-matter physics and biophysics [J] . Liu R.-X., Tian B., Liu L.-C., Physica, B. Condensed Matter . 2013,第Null期

机译：凝聚态物理和生物物理学中四阶色散非线性薛定ding方程的双线性形式，N孤子解和孤子相互作用
3. B?cklund transformation and N-soliton solutions for a (2t1)-dimensional nonlinear evolution equation in nonlinear water waves [J] . Ya Sun, Bo Tian, Wen-Rong Sun, Physica Scripta: An International Journal for Experimental and Theoretical Physics . 2014,第7期

机译：非线性水波中（2t1）维非线性演化方程的B？cklund变换和N个孤子解
4. N-soliton solutions in the higher-order nonlinear Schroedinger equation [C] . Zhonghao Li, Shanxi Univ., Taiyuan Shanxi, Fiber Optic Components and Optical Communication II . 1998

机译：高阶非线性Schroedinger方程中的N孤子解
5. Effects of randomness, dissipation and interaction on solitons of the cubic nonlinear Schrodinger equation and related nonlinear wave models. [D] . Nguyen, Quan Minh. 2011

机译：随机，耗散和相互作用对立方非线性Schrodinger方程和相关非线性波模型的孤子的影响。
6. Modulational instability beak-shaped rogue waves multi-dark-dark solitons and dynamics in pair-transition-coupled nonlinear Schrödinger equations [O] . Guoqiang Zhang, Zhenya Yan, Xiao-Yong Wen -1

机译：成对跃迁耦合非线性Schrödinger方程的调制不稳定性喙状流氓波多暗-暗孤子和动力学
7. Inverse scattering approach to coupled higher order nonlinear Schr"odinger equation and N-soliton solutions [O] . Nandy, Sudipta 2003

机译：逆散射方法耦合高阶非线性 schr \“odinger方程和N孤子解

N-soliton solutions and elastic interaction of the coupled lattice soliton equations for nonlinear waves

摘要

著录项

相似文献

相关主题

期刊订阅