A new Baecklund transformation for (2+1)-dimensional KdV equation is first obtained by using homogeneous balance method. And making use of the Baecklund transformation and choosing a special seed solution, we get spe...A new Baecklund transformation for (2+1)-dimensional KdV equation is first obtained by using homogeneous balance method. And making use of the Baecklund transformation and choosing a special seed solution, we get special types of solitary wave solutions. Finally a general variable separation solution containing two arbitrary functions is constructed, from which abundant localized coherent structures of the equation in question can be induced.展开更多
Considering that the multi-valued (folded) localized excitations may appear in many (2+1)-dimensional soliton equations because some arbitrary functions can be included in the exact solutions, we use some special type...Considering that the multi-valued (folded) localized excitations may appear in many (2+1)-dimensional soliton equations because some arbitrary functions can be included in the exact solutions, we use some special types of muliti-valued functions to construct folded solitrary waves and foldons in the (2+1)-dimensional Broer-Kaup equation.These folded excitations are invesigated both analytically and graphically in an alternative way.展开更多
By using the extended homogeneous balance method, we give new soliton-like solutions for the (2 + 1) dimensional high-order Broer-Kaup equations. Solitary wave solutions are shown to bea special case of the present re...By using the extended homogeneous balance method, we give new soliton-like solutions for the (2 + 1) dimensional high-order Broer-Kaup equations. Solitary wave solutions are shown to bea special case of the present results.展开更多
文摘A new Baecklund transformation for (2+1)-dimensional KdV equation is first obtained by using homogeneous balance method. And making use of the Baecklund transformation and choosing a special seed solution, we get special types of solitary wave solutions. Finally a general variable separation solution containing two arbitrary functions is constructed, from which abundant localized coherent structures of the equation in question can be induced.
文摘Considering that the multi-valued (folded) localized excitations may appear in many (2+1)-dimensional soliton equations because some arbitrary functions can be included in the exact solutions, we use some special types of muliti-valued functions to construct folded solitrary waves and foldons in the (2+1)-dimensional Broer-Kaup equation.These folded excitations are invesigated both analytically and graphically in an alternative way.
文摘By using the extended homogeneous balance method, we give new soliton-like solutions for the (2 + 1) dimensional high-order Broer-Kaup equations. Solitary wave solutions are shown to bea special case of the present results.
