CAJ | 학술논문

改进和推广了戴正德等提出的构造非线性演化方程周期孤立波解的同宿法,其关键思想是将拟解设定为三角函数和双曲函数的非线性组合形式.以(3+1)维Jimbo-Miwa方程为例,说明通过改进的同宿法可以获得一系列新的周期孤立波解.此外,利用图形分析了周期孤立波解的特性.
개진화추엄료대정덕등제출적구조비선성연화방정주기고립파해적동숙법,기관건사상시장의해설정위삼각함수화쌍곡함수적비선성조합형식.이(3+1)유Jimbo-Miwa방정위례,설명통과개진적동숙법가이획득일계렬신적주기고립파해.차외,이용도형분석료주기고립파해적특성.
The homoclinic test technique proposed by Dai et al for finding the periodic solitary wave solutions is further improved by expressing the quasi-solution as a nonlinear combination of trigonometric function and hyperbolic function.The effectiveness of the improved method is demonstrated by application to the well known (3+1)-dimensional Jimbo-Miwa equation with physical interest.As a result,a series of new periodic solitary wave solutions are obtained.Additionally,the propagation of the periodic solitary waves is illustrated by using the method of figure analysis.