Non-autonomous discrete Boussinesq equation:Solutions and consistency  

作　　者：农丽娟 张大军 

机构地区：[1]Department of Mathematics,Shanghai University

出　　处：《Chinese Physics B》2014年第7期199-204,共6页中国物理B（英文版）

基　　金：supported by the National Natural Science Foundation of China(Grant Nos.11071157 and 11371241);the Social Responsibility Foundation for theDoctoral Program of Higher Education of China(Grant No.20113108110002);the Project of"First-class Discipline of Universities in Shanghai"of China

摘　　要：A non-autonomous 3-component discrete Boussinesq equation is discussed. Its spacing parameters Pn and qm 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.A non-autonomous 3-component discrete Boussinesq equation is discussed. Its spacing parameters Pn and qm 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 

分 类 号：O175[理学—数学]