Benjamin方程的B3/4cklund变换、非线性叠加公式及无穷守恒律

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基金项目: 国家973项目资助课题(G199803600)

B3/4cklund Transformation, Nonlinear Superposition Formulae and Infinite Conserved Laws of Benjamin Equation

Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, P R China

摘要: 利用屠格式求出了Benjamin方程的B3/4cklund变换、精确孤波解、非线性叠加公式及其无穷守恒律。这种算法具有普适性。
- Benjamin方程 /
- B3/4cklund变换 /
- 无穷守恒律
Abstract: B3/4cklund transformation,exact solitary wave solutions,nonlinear supperposition formulae and infinite conserved laws are presented by using TU-pattern.The algorithm involves wide applications for nonlinear evolution equations.
- Benjamin equation /
- B3/4cklund transformation /
- infinite conserved law

[1]	屠规彰.Boussinesq方程的B3/4cklund变换与守恒律[J].应用数学学报,1981,4(1):63-68.
[2]	LU Hong-jun,WANG Ming-xin.Exact soliton solutions of some nonlinear physical models[J].Physics Letters A,1999,(255):249-252.
[3]	LIU Chun-ping,ZHOU Ru-guang,ZHOU Ming-ru.A simple method to construct the traveling wave solutions to nonlinear evolution equations[J].Physics Letters A,1998,(246):113-116.
[4]	Kaup David J,Newell A C.An exact solution for a derivative nonlinear Schrdinger equation[J].J Math Phys,1978,19(4):798-800.
[5]	ZHANG Jie-fang.Multiple soliton solutions of the dispersive long-wave equation[J].Chin Phys Lett,1999,16(1):4-5.