New exact solutions in terms of the Jacobi elliptic functions are obtained to the (2+1)-dimensional breakingsoliton equation by means of the modified mapping method. Limit cases are studied, and new solitary wave solu...New exact solutions in terms of the Jacobi elliptic functions are obtained to the (2+1)-dimensional breakingsoliton equation by means of the modified mapping method. Limit cases are studied, and new solitary wave solutionsand triangular periodic wave solutions are obtained.展开更多
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
Using a polynomial expansion method, the general exact solitary wave solution and singular one areconstructed for the non-linear KS equation. This approach is obviously applicable to a large variety of nonlinear evolu...Using a polynomial expansion method, the general exact solitary wave solution and singular one areconstructed for the non-linear KS equation. This approach is obviously applicable to a large variety of nonlinear evolution equation.展开更多
A new multisoliton solution to the (2＋1)-dimensional KdV equation is obtained by means of the truncated Painleve expansion method and a direct ansatz technique. This new exact solution is periodic in the propagating ...A new multisoliton solution to the (2＋1)-dimensional KdV equation is obtained by means of the truncated Painleve expansion method and a direct ansatz technique. This new exact solution is periodic in the propagating directionx and exponentially decaying in y and thus it is called periodic solitons. A typical spatial structure of it is illustrated bythe figures.展开更多
文摘New exact solutions in terms of the Jacobi elliptic functions are obtained to the (2+1)-dimensional breakingsoliton equation by means of the modified mapping method. Limit cases are studied, and new solitary wave solutionsand triangular periodic wave solutions are obtained.
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Using a polynomial expansion method, the general exact solitary wave solution and singular one areconstructed for the non-linear KS equation. This approach is obviously applicable to a large variety of nonlinear evolution equation.
文摘A new multisoliton solution to the (2＋1)-dimensional KdV equation is obtained by means of the truncated Painleve expansion method and a direct ansatz technique. This new exact solution is periodic in the propagating directionx and exponentially decaying in y and thus it is called periodic solitons. A typical spatial structure of it is illustrated bythe figures.
