Non-autonomous discrete Boussinesq equation：Solutions and consistency

doi:10.1088/1674-1056/23/7/070202

›› 2014, Vol. 23 ›› Issue (7): 70202-070202.doi: 10.1088/1674-1056/23/7/070202

Non-autonomous discrete Boussinesq equation：Solutions and consistency

农丽娟, 张大军

Department of Mathematics, Shanghai University, Shanghai 200444, China

收稿日期:2013-11-27 修回日期:2014-01-05 出版日期:2014-07-15 发布日期:2014-07-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11071157 and 11371241), the Social Responsibility Foundation for the Doctoral Program of Higher Education of China (Grant No. 20113108110002), and the Project of "First-class Discipline of Universities in Shanghai" of China.

Non-autonomous discrete Boussinesq equation：Solutions and consistency

Nong Li-Juan (农丽娟), Zhang Da-Juan (张大军)

Department of Mathematics, Shanghai University, Shanghai 200444, China

Received:2013-11-27 Revised:2014-01-05 Online:2014-07-15 Published:2014-07-15
Contact: Nong Li-Juan E-mail:nonglijuan2008@163.com
About author:02.30.Ik; 05.45.Yv
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11071157 and 11371241), the Social Responsibility Foundation for the Doctoral Program of Higher Education of China (Grant No. 20113108110002), and the Project of "First-class Discipline of Universities in Shanghai" of China.

摘要/Abstract

摘要： A non-autonomous 3-component discrete Boussinesq equation is discussed. Its spacing parameters p_n and q_m are related to independent variables n and m, respectively. We derive bilinear form and solutions in Casoratian form. The plain wave factor is defined through the cubic roots of unity. The plain wave factor also leads to extended non-autonomous discrete Boussinesq equation which contains a parameter δ. Tree-dimendional consistency and Lax pair of the obtained equation are discussed.

关键词: non-autonomous discrete Boussinesq equation, bilinear, solutions, Lax pair

Abstract: A non-autonomous 3-component discrete Boussinesq equation is discussed. Its spacing parameters p_n and q_m are related to independent variables n and m, respectively. We derive bilinear form and solutions in Casoratian form. The plain wave factor is defined through the cubic roots of unity. The plain wave factor also leads to extended non-autonomous discrete Boussinesq equation which contains a parameter δ. Tree-dimendional consistency and Lax pair of the obtained equation are discussed.

Key words: non-autonomous discrete Boussinesq equation, bilinear, solutions, Lax pair

中图分类号: (Integrable systems)

02.30.Ik

05.45.Yv (Solitons)

农丽娟, 张大军. Non-autonomous discrete Boussinesq equation：Solutions and consistency[J]. , 2014, 23(7): 70202-070202.

Nong Li-Juan (农丽娟), Zhang Da-Juan (张大军). Non-autonomous discrete Boussinesq equation：Solutions and consistency[J]. Chin. Phys. B, 2014, 23(7): 70202-070202.

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Non-autonomous discrete Boussinesq equation：Solutions and consistency

Non-autonomous discrete Boussinesq equation：Solutions and consistency

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