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- 2017
扩展的KP-Benjamin-Bona-Mahoney方程的对称、约化和精确解
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Abstract:
摘要： 应用经典李群方法得到了扩展的KP-Benjamin-Bona-Mahoney方程的对称和约化方程。通过求解得到的约化方程,结合(G'/G)-展开法和tanh函数展开法以及Riccati辅助方程,求出了该方程的一些精确解,包括行波解、有理函数解、双曲函数解、三角函数解等。最后,利用对称和伴随方程,求出了该方程的守恒律。
Abstract: By applying the direct symmetry method, the classical Lie symmetry and reduced equation of the extended KP-Benjamin-Bona-Mahoney equation are obtained. At the same time, through the reduced equation, a great many of solutions are derived by solving the reduction equations with(G'/G)-expansion 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
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