Darboux transformation and novel solutions for the long wave-short wave model

被引：0

作者：

Xin Huang

Boling Guo

Liming Ling

机构：

[1] Sichuan Normal University,College of Mathematics and Software Science

[2] Sichuan Finance and Economics Vocational College,Department of Basic Courses

[3] Institute of Applied Physics and Computational Mathematics,School of Sciences

[4] South China University of Technology,undefined

来源：

Journal of Nonlinear Mathematical Physics | 2013年 / 20卷

关键词：

Long wave-short wave; Soliton; Exact solution; Darboux transformation; Non-vanishing background; 37K10; 37K35; 37K40;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Firstly, we establish the relation between the loop group method and gauge transformation method for 3 × 3 spectral problem. Some novel solutions of long wave-short wave model are obtained by Darboux transformation method. Besides, we give the analysis and classification of solution in detail.

引用

页码：514 / 528

页数：14

共 24 条

[1]

Benney D J(1977)A general theory for interactions between short and long waves, Stud. Appl Math 56 81-94

[2]

Calogero F(2005)A. Degasperis Novel solution of the system describing the resonant interaction of three waves Physica D 200 242-256

[3]

Conforti M(2011)Modulational instability of dark solitons in three wave resonant interaction Physica D 240 1362-1369

[4]

Baronio F(2011)The Three-Wave Resonant Interaction Equations: Spectral and Numerical Methods, Lett Math. Phys 96 367-403

[5]

Degasperis A(1998)Orbital Stability of Solitary Waves of the Long Wave-Short Wave Resonance Equations Math. Meth. Appl. Sci 21 883-894

[6]

Degasperis A(2013)High-Order Solutions and Generalized Darboux Transformations of Derivative Nonlinear Schrödinger Equations, Stud. Appl Math 130 317-344

[7]

Conforti M(1990)N-soliton solutions for a class of the system of LS nonlinear wave interaction, Chin. Phys Lett 7 241-244

[8]

Baronio F(1976)The three-wave interactionła nondispersive phenomenon, Stud. Appl Math 55 9-44

[9]

Wabnitz S(1978)The complete solution of the long-wave-short-wave resonance equations, Stud. Appl Math 59 201-221

[10]

Lombardo S(1978)Long waves–short waves; a solvable model, SIAM J. Appl. Math 35 650-664

← 1 2 3 →