【摘要】 研究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及双孤立子解·　引入凹凸尖峰孤立子及光滑孤立子的概念 ,研究得到该方程的行波解中具有尖峰性质的凹凸尖峰孤立子解及光滑孤立子解·　同时利用Backlund变换给出该类方程的新的双孤立子解·更多还原

【Abstract】 The traveling wave soliton solutions and pair soliton solution to a class of new completely integralbe shallow water equation, Camassa_Holm equation are studied. The concept of concave or convex peaked soliton and smooth soliton were introduced. And the research shows that the traveling wave solution of that equation possesses concave and convex peaked soliton and smooth soliton solutions with the peakson. Simultaneously by applying Backlund transformation the new pair soliton solutions to this class of equation are given.更多还原