Camassa-Holm方程凹凸尖峰及光滑孤立子解

基金项目: 国家自然科学基金资助(100710331);江苏省自然科学基金资助(BQ98023);教育部骨干教师基金资助(200065-30)

The Concave or Convex Peaked and Smooth Soliton Solutions of Camassa-Holm Equation

1.
Department of Mathematics, Jiangsu University of Science and Technolgoy, Zhenjiang, Jiangsu 212013, P R China;
2.
Department of Mathematics, Shanghai University, Shanghai 200018, P R China

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.
- 孤立子 /
- 尖峰 /
- 可积系统 /
- 行波解
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.
- soliton /
- peakson /
- integrable system /
- traveling wave solution

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