Darboux transformation for a generalized Hirota-Satsuma coupled Korteweg-de Vries equation

Journal Article · Fri May 15 00:00:00 EDT 2009 · Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics (Print)

DOI:https://doi.org/10.1103/PHYSREVE.79.056602· OSTI ID:21294125

Xianguo, Geng; Hongfeng, Ren; Guoliang, He ^[1]

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1. Department of Mathematics, Zhengzhou University, 75 Daxue Road, Zhengzhou, Henan 450052 (China)

A Darboux transformation for the generalized Hirota-Satsuma coupled Korteweg-de Vries (KdV) equation is derived with the aid of the gauge transformation between the corresponding 4x4 matrix spectral problems with three potentials, by which some explicit solutions of the generalized Hirota-Satsuma coupled KdV equation are constructed. As a reduction, a Darboux transformation of the complex coupled KdV equation and its explicit solutions are obtained.

• OSTI ID: 21294125
• Journal Information: Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics (Print), Vol. 79, Issue 5; Other Information: DOI: 10.1103/PhysRevE.79.056602; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1539-3755
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICAL METHODS AND COMPUTING
ALGEBRA
GAUGE INVARIANCE
KORTEWEG-DE VRIES EQUATION
MATHEMATICAL SOLUTIONS
MATRICES
NONLINEAR PROBLEMS
TRANSFORMATIONS