【摘要】 在引入凹凸尖峰孤立子和光滑孤立子解的概念后,研究了一类完全可积的新型浅水波方程Camassa Holm方程的行波孤立子解.通过引入一个可以构造微分方程解的定理,构造出了Camassa Holm方程的行波解中具有尖峰性质的凹凸尖峰孤立子和光滑孤立子性质的解.更多还原

【Abstract】 The travelling wave soliton solutions of a class of new completely integrable shallow water equation are discussed,CamassaHolm equation,after introducing the concepts of concave or convex peaked soliton and smooth soliton solution.A theorem,which can be used to construct the solution of a differential equation,is introduced.Some travelling wave solutions are constructed,which posses concave and convex peaked soliton and smooth soliton,of CamassaHolm equation via applying this theorem.更多还原