推广的Riccati方程有理展开法在(2+1)维Burgers方程中的应用  

Application of Extended Riccati Equation Rational Expansion Method in(2+1)Dimensional Burgers Equation

作　　者：王丹[1] WANG Dan(Qindao College,Qingdao Technologi cal U niversi ty,266106,Qingdao,Shandong,PRC)

机构地区：[1]青岛理工大学琴岛学院,山东省青岛市266106

出　　处：《曲阜师范大学学报（自然科学版）》2018年第4期5-8,共4页Journal of Qufu Normal University(Natural Science)

基　　金：国家自然科学基金(51579040);山东省高等学校科研计划(JNKB053)

摘　　要：借助于数学计算软件Maple及有理展开这一思路,将Riccati方程有理展开法进一步推广来构造非线性偏微分方程的新精确解.应用该方法研究了(2+1)维Burgers方程,并成功地获得了该方程的新的形式的解,从而得出该方法在求解非线性偏微分方程新精确解中的有效性和可靠性.Based on mathematic computation software Maple and the idea of rational expansion meth od, Riccati equation rational expansion method is extended to construct new exact solutions for nonlinear partial differential equations. We applied the method to solve （2＋ 1） dimensional Burgers equations and got new form of solutions successfully. We conclude that this method is effective and reliable in solving the new exact solutions of nonlinear partial differential equations.

关 键 词：MAPLE 有理展开法 RICCATI方程组 BURGERS方程 精确解 

分 类 号：O175.2[理学—数学]