Benjamin-Bona-Mahoney方程的行波解

摘要

目的 建立5个方程新的行波解.方法 借助于双曲正切方法, 有理正余弦方法和正余弦方法.结果与结论 构造了方程有理三角正余弦形式解, 获得了方程周期解, 复数解, 钟形孤立子解.%Purposes-To establish new traveling wave solutions to the Benjamin-Bona-Mahoney equation, the modified Kawahara equation, the generalized modified Degasperis-Procesi equation, the modified Degasperis-Procesi equation and the modified Camassa-Holm equation.Methods-These equations are studied with the tanh method, rational sine-cosine functions method and the sine-cosine method.Results and Conclusion-The forms of the rational triangle sine-cosine are constructed to achieve solutions to these equations.These solutions consist of the periodic solutions, complex solutions and bell-shaped solitons solutions.