Gerdjikov-Ivanov方程的精确解  

Exact solutions of Gerdjikov-Ivanov equation

作　　者：李向正[1] 李修勇[1] 赵丽英[1] 张金良[1] 

机构地区：[1]河南科技大学理学院,洛阳471003

出　　处：《物理学报》2008年第4期2031-2034,共4页Acta Physica Sinica

基　　金：河南省教育厅自然科学基金(批准号:2006110002;2007110010);河南科技大学科研基金(批准号:2006ZY001;2006ZY011)资助的课题~~

摘　　要：研究在量子场理论、弱非线性色散水波、非线性光学等领域中出现的Gerdjikov-Ivanov方程.对Gerdjikov-Ivanov方程的研究会导出具有高次非线性项的非线性数学物理方程.选取Liénard方程作为辅助常微分方程,借助于它并根据齐次平衡原则,求解了Gerdjikov-Ivanov方程,得到了该方程的包络孤立波解和包络正弦波解.The C, erdjikov-Ivanov equation which appears, in the fields of quanta field theory, weak nonlinear dispersive water wave, nonlinear optics, etc., has been discussed. Nonlinear mathematical physics equation with higher order nonlinear terms is educed in the discussion of Gerdjikov-Ivanov equation. The Lienard equation is chosen as subsidiary ordinary differential equation, with the help of which and according to homogeneous balance principle, the Gerdjikov-Ivanov equation has been solved, and the envelope solitary wave solutions and envelope sinusoidal wave solutions have been obtained.

关 键 词：齐次平衡原则 F展开法 Gerdjikov-Ivanov方程 包络孤立波解 

分 类 号：O411.1[理学—理论物理]