By the application of the extended homogeneous balance method, we derive an auto-Bācklund transformation (BT) for (2＋1)-dimensional variable coefficient generalized KP equations. Based on the BT, in which there are ...By the application of the extended homogeneous balance method, we derive an auto-Bācklund transformation (BT) for (2＋1)-dimensional variable coefficient generalized KP equations. Based on the BT, in which there are two homogeneity equations to be solved, we obtain some exact solutions containing single solitary waves.展开更多
More new exact solutions for a class of nonlinear coupled differential equations are obtained by using a direct and efficient hyperbola function transform method based on the idea of the extended homogeneous balance m...More new exact solutions for a class of nonlinear coupled differential equations are obtained by using a direct and efficient hyperbola function transform method based on the idea of the extended homogeneous balance method.展开更多
文摘By the application of the extended homogeneous balance method, we derive an auto-Bācklund transformation (BT) for (2＋1)-dimensional variable coefficient generalized KP equations. Based on the BT, in which there are two homogeneity equations to be solved, we obtain some exact solutions containing single solitary waves.
文摘More new exact solutions for a class of nonlinear coupled differential equations are obtained by using a direct and efficient hyperbola function transform method based on the idea of the extended homogeneous balance method.
