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进一步研究了辅助方程法,给出了几种常用辅助方程的新解、 Bcklund变换和解的非线性叠加公式. 在此基础上,根据m和n的不同情况,利用变换和直接积分相结合的方法, 获得了K (m,n)方程与B (m,n)方程的无穷序列新精确解. 这里包括无穷序列光滑孤立子解、无穷序列尖峰孤立子解和无穷序列紧孤立子解.
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关键词:
- 辅助方程法/
- 直接积分法/
- K(m,n)方程与B(m,n)方程/
- 无穷序列精确解
New solutions of several kinds of auxiliary equations, Bcklund transformation and nonlinear superposition formula of the solutions are presented by studying a highly auxiliary equation method. Based on this and different m and n, the method of combining transformation and direct integration is used to obtain infinite sequence new exact solutions of K(m,n) equation and B(m,n) equation, which include infinite sequence smooth soliton solutions, peak soliton solutions and compact soliton solutions.-
Keywords:
- auxiliary equation method/
- direct integration/
- K(m,n) equation and B(m,n) equation/
- infinite sequence exact solution
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