带强迫项的变系数耦合修正mKdV方程组的新解  

New solutions of variable coefficients coupling correction mKdV equations with forced items

作　　者：套格图桑[1] Taogetusang(The College of Mathematical Science,Inner Mongolia Normal University,Huhhot 010022)

机构地区：[1]内蒙古师范大学数学科学学院

出　　处：《量子电子学报》2019年第3期289-298,共10页Chinese Journal of Quantum Electronics

基　　金：国家自然科学基金,11361040;内蒙古自治区自然科学基金,2015MS0128;内蒙古民族大学科学研究基金项目,NMDGP1713~~

摘　　要：通过两个步骤,构造了带强迫项的变系数耦合修正Korteweg-de Vries(VCmKdV)方程组的复合型新解,并分析了解的相互作用。给出一种非线性常微分方程的几种新解。采用函数变换与一种非线性常微分方程相结合的方法,构造了带强迫项的VCmKdV方程组的由指数函数、三角函数和有理函数组合的复合型新解,包括孤子解与周期解复合的解、双孤子解和双周期解。The new complexion solutions of the variable coefficients coupling correction modified Korteweg-de Vries(VCmKdV)equations with forced items are constructed in two steps,and the interaction with the solutions is analyzed.Some kinds of new solutions of a nonlinear ordinary differential equation are put forward.The method combing the function transformation with a nonlinear ordinary differential equation is proposed,and the new complexion solutions consisting of exponential functions,trigonometric functions and rational functions of the VCmKdV equation with forced items are constructed.These solutions include the complexion solutions composed of the soliton solutions and period solutions,two soliton solutions and two period solutions.

关 键 词：非线性方程 带强迫项的变系数mKdV方程组 函数变换 复合型新解 

分 类 号：O175.2[理学—数学]