摘要
利用待定系数法得到了(3+1)维Zakharov-Kuznetsov-Burgers方程的对称、单参数群和约化方程.结合幂级数展开法和tanh函数展开法以及Riccati辅助函数的应用,我们得到了该方程的一些新精确解,包括行波解、有理函数解、周期解、三角函数解等.最后,基于所求对称和该方程伴随方程的解,得到了方程的守恒律.
By applying undetermined coeff icient method, the classical Lie symmetry and reduced e-quation of the （3 ＋ 1） dimensional Zakharov-Kuznetsov-Burgers equation were obtained. At the same time, a great many of solutions are derived by solving the reduction equations with power series expan-sion method and the tanh function expansion method and Riccati auxiliary equation, including travelling wave solutions, the rational function solutions, hyperbolic function solutions, the trigonometric function solutions and so on. Finally, the conservation laws of the equation are obtained by using the symmetry and adjoint equations.
出处
《聊城大学学报（自然科学版）》
2017年第1期10-17,共8页
Journal of Liaocheng University:Natural Science Edition
基金
国家自然科学基金
中国工程物理研究院联合基金项目(11076015)资助
