Searching For(2+1)-dimensional nonlinear Boussinesq equation from(1+1)-dimensional nonlinear Boussinesq equation  

作　　者：Man Jia S Y Lou 

机构地区：[1]School of Physical Science and Technology,Ningbo University,Ningbo,315211,China

出　　处：《Communications in Theoretical Physics》2023年第7期58-61,共4页理论物理通讯（英文版）

基　　金：support of the National Natural Science Foundation of China(Nos.12275144,12235007 and 11975131);the K C Wong Magna Fund at Ningbo University。

摘　　要：A novel(2+1)-dimensional nonlinear Boussinesq equation is derived from a(1+1)-dimensional Boussinesq equation in nonlinear Schr?dinger type based on a deformation algorithm.The integrability of the obtained(2+1)-dimensional Boussinesq equation is guaranteed by its Lax pair obtained directly from the Lax pair of the(1+1)-dimensional Boussinesq equation.Because of the effects of the deformation,the(2+1)-dimensional Boussinesq equation admits a special travelling wave solution with a shape that can be deformed to be asymmetric and/or multivalued.

关 键 词：(2+1)-dimensional Boussinesq equation deformation algorithm lax integrable an implicit travelling wave solution 

分 类 号：O175[理学—数学]