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

Zuo nong Zhu; Hai qiong Zhao; Xiaonan WU

doi:10.1063/1.3569972

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

Zuo nong Zhu^*, Hai qiong Zhao, Xiaonan WU

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Journal article › peer-review

14 Citations (Scopus)

Abstract

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.

Original language	English
Article number	043508
Journal	Journal of Mathematical Physics
Volume	52
Issue number	4
DOIs	https://doi.org/10.1063/1.3569972
Publication status	Published - 5 Apr 2011

Scopus Subject Areas

Statistical and Nonlinear Physics
Mathematical Physics

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title = "On the continuous limits and integrability of a new coupled semidiscrete mKdV system",

abstract = "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.",

author = "Zhu, {Zuo nong} and Zhao, {Hai qiong} and Xiaonan WU",

note = "Funding Information: The work of Z.N.Z. is supported by the National Natural Science Foundation of China under Grant No. 10971136 and also in part by the Ministry of Education and Science of Spain under contract MTM2009-12670, and that of X.N.W. is supported by RGC of Hong Kong and FRG of Hong Kong Baptist University. We are greatly indebted to the referee for his very valuable remarks and suggestions on the original manuscript.",

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doi = "10.1063/1.3569972",

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AU - Zhu, Zuo nong

AU - Zhao, Hai qiong

AU - WU, Xiaonan

N1 - Funding Information: The work of Z.N.Z. is supported by the National Natural Science Foundation of China under Grant No. 10971136 and also in part by the Ministry of Education and Science of Spain under contract MTM2009-12670, and that of X.N.W. is supported by RGC of Hong Kong and FRG of Hong Kong Baptist University. We are greatly indebted to the referee for his very valuable remarks and suggestions on the original manuscript.

PY - 2011/4/5

Y1 - 2011/4/5

N2 - 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.

AB - 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.

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JF - Journal of Mathematical Physics

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

Abstract

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