论文标题
耦合HIGGS方程及其多组分概括的孤子动力学
Soliton dynamics to the coupled Higgs equation and its multi-component generalization
论文作者
论文摘要
在本文中，我们根据Hirota的直接方法研究了耦合的HIGGS方程及其多组分概括。耦合希格斯方程的一个和两氧化解决方案是通过扰动方法得出的。我们以Pfaffian的形式表达N-Soliton溶液，并证明N-Componment耦合Higgs方程证明是Pfaffian的身份。从Pfaffians获得多组分耦合Higgs方程的一台和两氧化解决方案。从显式解决方案，平行孤子，周期性和几乎周期性相互作用，弹性和非弹性碰撞开始。
In this paper, we study the coupled Higgs equation and its multi-component generalization based on the Hirota's direct method. One and two-soliton solutions of the coupled Higgs equation are derived by the perturbation approach. We express the N-soliton solutions in the form of Pfaffians and demonstrate that the N-component coupled Higgs equation turns out to be the Pfaffian identity. One and two-soliton solutions of the multi-component coupled Higgs equation are obtained from the Pfaffians. Starting from the explicit solutions, parallel solitons, periodic and nearly periodic interactions, elastic and inelastic collisions are investigated.
