一个求孤子方程有限带势解的方法

Abstract

Abstract: Based on the method of the nonlinearization of Lax pair, a method to seek the finite-band solution of solton equation is presented. We take KdV equation as an example. First through the nonlinearization of Lax pair, we decompose the KdV equation into two finite-dimensional integrable systems; then we give a common angle-action variables for these two Hamiltonian systems. Fanilly we obtain the finite-band solution of KdV equation.

Key words: Soliton, Nonlinearization of Lax pair, Finite-band solution, Hyperellptical curve

Zhou Ruguang. A Method to Seek the Finite-Band Solution of Soliton Equation[J].Acta mathematica scientia,Series A, 1998, 18(2): 228-234.

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A Method to Seek the Finite-Band Solution of Soliton Equation

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