Add to ORKGAbstract Starting from a special Painlevé-Bäcklund transformation, the nonlinear generalized Broer-Kaup(GBK) system in (2+1)-dimensions is reduced to a linear system. Then by means of the linear superposition theorem, a general variable separation excitation to the generalized Broer-Kaup system is obtained. Finally, based on the derived solution, a new type of localized structure, i.e., semifolded localized coherent structure is constructed and some evolution properties of the novel semifolded localized structure are briefly discussed
Under investigation in this paper is the generalized (2+1)-dimensional Konopelchenko-Dubrovsky-Kaup-...
The KP hierarchy reduction method is one of the most reliable and efficient techniques for determini...
In this article, a singularity structure analysis of a (2+1)-dimensional generalized Korteweg-de Vri...
Broad new families of rational form variable separation solutions with two arbitrary lower-dimension...
Starting from a quite universal formula, which is obtained by variable separation approach and vali...
We briefly review the recent progress in obtaining (2+1) dimensional integrable generalizations of s...
Under investigation in this paper is the higher-order Broer-Kaup(HBK) system, which describes the bi...
A generalized (2 + 1)-dimensional nonlinear Schrodinger equation introduced recently by Fokas is inv...
Starting from the standard truncated Painlevé expansion and a multilinear variable separation appro...
In this paper, we report a novel way of constructing a new class of localized coherent structures fo...
Via a special Painlevé–Bäcklund transformation and the linear superposition theorem, we derive ...
We study the nonlinear wave solutions for the Broer-Kaup equation. Many exact explicit expressions o...
Abstract. In this paper, we establish new soliton solutions for nonlinear equations. The He, s semi-...
Abstract An extended (3+1)-dimensional Kadomtsev–Petviashvili–Boussinesq equation is studied in this...
With the aid of symbolic computation, we derive new types of variable separation solutions for th...
Under investigation in this paper is the generalized (2+1)-dimensional Konopelchenko-Dubrovsky-Kaup-...
The KP hierarchy reduction method is one of the most reliable and efficient techniques for determini...
In this article, a singularity structure analysis of a (2+1)-dimensional generalized Korteweg-de Vri...
Broad new families of rational form variable separation solutions with two arbitrary lower-dimension...
Starting from a quite universal formula, which is obtained by variable separation approach and vali...
We briefly review the recent progress in obtaining (2+1) dimensional integrable generalizations of s...
Under investigation in this paper is the higher-order Broer-Kaup(HBK) system, which describes the bi...
A generalized (2 + 1)-dimensional nonlinear Schrodinger equation introduced recently by Fokas is inv...
Starting from the standard truncated Painlevé expansion and a multilinear variable separation appro...
In this paper, we report a novel way of constructing a new class of localized coherent structures fo...
Via a special Painlevé–Bäcklund transformation and the linear superposition theorem, we derive ...
We study the nonlinear wave solutions for the Broer-Kaup equation. Many exact explicit expressions o...
Abstract. In this paper, we establish new soliton solutions for nonlinear equations. The He, s semi-...
Abstract An extended (3+1)-dimensional Kadomtsev–Petviashvili–Boussinesq equation is studied in this...
With the aid of symbolic computation, we derive new types of variable separation solutions for th...
Under investigation in this paper is the generalized (2+1)-dimensional Konopelchenko-Dubrovsky-Kaup-...
The KP hierarchy reduction method is one of the most reliable and efficient techniques for determini...
In this article, a singularity structure analysis of a (2+1)-dimensional generalized Korteweg-de Vri...