一类非线性发展方程的孤波解

Solitary Wave Solutions for a Class of Nonlinear Evolution Equations

讨论非线性发展方程ut+a(1+bu2)u2ux+δuxxx=0,其中a>0,b<0,δ∈R均为参数.利用扩展的齐次平衡法构造出如上方程准确解的一般过程,然后结合吴消元法,在某些参数条件下,求得了该方程孤立波解的解析表达式.

A class of nonlinear evolution equationsut+a(1+bu2)u2ux+δuxxx=0,With a>0, b<0 and δ∈R are investigated. By using the general process of working out the exact solution of the nonlinear evolution equations in the homogeneous balance method, combining Wuelimination method, and extending the homogeneous balance method, the exact solutions of the equations are obtained.