(2+1)维Nizhnik方程组的周期孤波解

Periodic Soliton-Wave Solutions for(2+1)-dimensional Nizhnik Equations

运用Hirota法,将Hirota法中的测试函数用新的测试函数来替代,求解(2+1)维Nizhnik方程组,得到了新的周期孤波解和不曾看见过的解析解.

The Hirota method proposed recently is extended to find more exact solutions of nonlinear evolution equations. To be more precise, a new test function is used instead of the test function in the Hirota method. By using the extended Hirota method, （2 ＋ 1 ） - dimensional Nizhnik equations are tackled in an abundance of exact solutions. Obviously, the extended Hirota method can be applied to solve other types of nonlinear evolution equations as well.