耦合Gerdjikov-Ivanov方程的多孤子解和无穷守恒律  

Multi-soliton Solutions and Conservation Laws of the Coupled Gerdjikov-Ivanov Equation

作　　者：段求员[1] 李琪 

机构地区：[1]抚州职业技术学院基础教学部,江西抚州344000 [2]东华理工大学抚州师范学院,江西抚州344000

出　　处：《数学的实践与认识》2017年第23期276-283,共8页Mathematics in Practice and Theory

基　　金：国家自然科学基金(11561002;项目依托单位:东华理工大学);江西省自然科学基金(20142BAB201006;项目依托单位:东华理工大学);江西省教育厅科技项目(GJJ151458;项目依托单位:抚州职业技术学院)

摘　　要：借用Hirota方法找到耦合Gerdjikov-Ivanov方程的多孤子解.描述了单孤子解和双孤子解的动力特征.耦合Gerdjikov-Ivanov方程可约化至Gerdjikov-Ivanov方程,并且得出Gerdj ikov-Ivanov方程的解.还给出了耦合Gerdj ikov-Ivanov方程的无穷多守恒律.In the paper, multi-soliton solutions for the coupled Gerdjikov-Ivanov equation are derived via Hirota＇s method. The dynamics of one-soliton and two-soliton solutions are also illustrated. The reduction from the coupled Gerdjikov-Ivanov equation to the GerdjikovIvanov equation is discussed as well as solutions. An infinite number of conservation laws of the coupled Gerdjikov-Ivanov equation are also derived.

关 键 词：多孤子解 耦合Gerdjikov-Ivanov方程 HIROTA方法 守恒律 

分 类 号：O175.29[理学—数学]