扩展的双曲函数法和Zakharov方程组的新精确孤立波解

Extended hyperbolic function method and new exact solitary wave solutions of Zakharov equations

借助于符号计算软件Maple ,利用扩展的双曲函数法求出了Zakharov方程组的精确孤立波解 ,包括钟状孤立波解、扭结状孤立波解、包络孤立波解、奇性孤立波解和一种新的形式的孤立波解 .这种方法也适用于其他非线性波方程 .

With the aid of symbolic computation system Maple and by using the extended hyperbolic function method, the exact solitary wave solutions of Zakharov equations are obtained which include bell_shaped soliton solutions, kink_shaped soliton solutions, envelop soliton solutions, singular soliton solutions and a new type of soliton solutions. The method can be also used to solve other nonlinear wave equations.