We obtain Backlund transformation and some new kink-like solitary wave solutions for the generalized Burgers equation in (2+1)-dimensional space,ut+1/2(uδy^-1ux)x-uxx=0,by using the extended homogeneous balance metho...We obtain Backlund transformation and some new kink-like solitary wave solutions for the generalized Burgers equation in (2+1)-dimensional space,ut+1/2(uδy^-1ux)x-uxx=0,by using the extended homogeneous balance method.As is well known,the introduction of the concept of dromions (the exponentially localized solutions in (2+1)-dimensional space)has triggered renewed interest in (2+1)-dimensional soliton systems.The solutions obtained are used to show that the variable ux admits exponentially localized solutions rather than the physical field u(x,y,t) itself.In addition,it is shown that the equation passes Painleve test.展开更多
文摘We obtain Backlund transformation and some new kink-like solitary wave solutions for the generalized Burgers equation in (2+1)-dimensional space,ut+1/2(uδy^-1ux)x-uxx=0,by using the extended homogeneous balance method.As is well known,the introduction of the concept of dromions (the exponentially localized solutions in (2+1)-dimensional space)has triggered renewed interest in (2+1)-dimensional soliton systems.The solutions obtained are used to show that the variable ux admits exponentially localized solutions rather than the physical field u(x,y,t) itself.In addition,it is shown that the equation passes Painleve test.
