On the continuous limits and integrability of a new coupled semidiscrete mKdV system

Journal Article · Fri Apr 15 00:00:00 EDT 2011 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.3569972· OSTI ID:21501312

Zuonong, Zhu; Haiqiong, Zhao ^[1]; Xiaonan, Wu ^[2]

---

1. Department of Mathematics, Shanghai Jiao Tong University, 800 Dongchuan Road, Shanghai, 200240 (China)
2. Department of Mathematics, Hong Kong Baptist University, 224 Waterloo Road, Kowloon (Hong Kong)

In this paper, we aim to get more insight on the relation between semidiscrete coupled mKdV system (where ''semidiscrete'' means that the system is discrete in the space variable and continuous in time) and the coupled mKdV equations; to this purpose, we propose a new coupled semidiscrete mKdV system. The Lax pairs, the Darboux transformation, soliton solutions and conservation laws for the coupled semidiscrete mKdV system are given. The coupled mKdV theory including the Lax pairs, the Darboux transformation, soliton solutions, and conservation laws is recovered through the continuous limits of corresponding theory for the new semidiscrete mKdV system.

• OSTI ID: 21501312
• Journal Information: Journal of Mathematical Physics, Vol. 52, Issue 4; Other Information: DOI: 10.1063/1.3569972; (c) 2011 American Institute of Physics; ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICAL METHODS AND COMPUTING
CONSERVATION LAWS
KORTEWEG-DE VRIES EQUATION
MATHEMATICAL SOLUTIONS
MATHEMATICAL SPACE
SOLITONS
TRANSFORMATIONS
DIFFERENTIAL EQUATIONS
EQUATIONS
PARTIAL DIFFERENTIAL EQUATIONS
QUASI PARTICLES
SPACE