为了获得非线性发展方程的无穷序列新精确解,给出了Riccati方程的一些新解和Baicklund变换以及解的非线性叠加公式.Riccati方程与函数变换相结合,借助符号计算系统Mathematica,构造了(2+1)维色散长波方程组新的无穷序列精确解.这些解包括无穷序列类孤子解、无穷序列复合型解等.这种方法在构造非线性发展方程无穷序列精确解领域具有普遍意义.
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