Recently a doubly periodic solution of the Kadomtsev-Petviashvili equation was deduced by summing over component solitons. The same solution was derived directly by the Hirota bilinear method. This alternate route enables one to obtain a new solution. Such a mechanism can also be applied to wavepacket dynamics, e.g., the Davey-Stewartson equation. © 1994 American Institute of Physics.link_to_subscribed_fulltex
Abstract. A new procedure is firstly proposed to construct soliton equations with self-consistent so...
In this paper we obtain one and two soliton solutions to Hirota-Satsuma KdV system with the aid of H...
AbstractIn this paper, with the aid of symbolic computation, we present a uniform method for constru...
Abstract. Several findings on soliton solutions generated by the Kadomtsev-Petviashvili (KP) equatio...
Abstract In the present paper, the potential Kadomtsev–Petviashvili equation and ( 3+1 $3+1$)-dimens...
An inclined periodic soliton solution can be expressed as imbricate series of rational soliton solut...
A class of doubly periodic waves for several nonlinear evolution equations is studied by the Hirota ...
This paper deals with M-soliton solution of the (2 + 1)-dimensional variable-coefficient Kadomtsev-P...
We employ the idea of Hirota-s bilinear method, to obtain some new exact soliton solutions for high ...
This paper investigates the (n+1) dimensional integrable extension of the Kadomtsev–Petviashvili (KP...
With the aid of the binary Hirota polynomial scheme, the bilinear form of the generalized (3 + 1)-di...
The bilinear operator and F-expansion method are applied jointly to study (2+1)-dimensional Kadomtse...
It is significantly important to search for exact soliton solutions to nonlinear partial differentia...
We consider utmost significant model, namely, the regularized long-wave equation involving dispersio...
A class of complex Ginzburg-Landau (CGL) equations with variable coefficients is solved exactly by m...
Abstract. A new procedure is firstly proposed to construct soliton equations with self-consistent so...
In this paper we obtain one and two soliton solutions to Hirota-Satsuma KdV system with the aid of H...
AbstractIn this paper, with the aid of symbolic computation, we present a uniform method for constru...
Abstract. Several findings on soliton solutions generated by the Kadomtsev-Petviashvili (KP) equatio...
Abstract In the present paper, the potential Kadomtsev–Petviashvili equation and ( 3+1 $3+1$)-dimens...
An inclined periodic soliton solution can be expressed as imbricate series of rational soliton solut...
A class of doubly periodic waves for several nonlinear evolution equations is studied by the Hirota ...
This paper deals with M-soliton solution of the (2 + 1)-dimensional variable-coefficient Kadomtsev-P...
We employ the idea of Hirota-s bilinear method, to obtain some new exact soliton solutions for high ...
This paper investigates the (n+1) dimensional integrable extension of the Kadomtsev–Petviashvili (KP...
With the aid of the binary Hirota polynomial scheme, the bilinear form of the generalized (3 + 1)-di...
The bilinear operator and F-expansion method are applied jointly to study (2+1)-dimensional Kadomtse...
It is significantly important to search for exact soliton solutions to nonlinear partial differentia...
We consider utmost significant model, namely, the regularized long-wave equation involving dispersio...
A class of complex Ginzburg-Landau (CGL) equations with variable coefficients is solved exactly by m...
Abstract. A new procedure is firstly proposed to construct soliton equations with self-consistent so...
In this paper we obtain one and two soliton solutions to Hirota-Satsuma KdV system with the aid of H...
AbstractIn this paper, with the aid of symbolic computation, we present a uniform method for constru...