We apply the Hirota direct method to construct complexiton solutions (complexitons). The key is to use Hirota bilinear forms. We prove that taking pairs of conjugate wave variables in the 2N-soliton solutions generates N-complexion solutions. The general theory is used to construct multi-complexion solutions to the Korteweg–de Vries equation
In this paper, we consider an extended KdV equation, which arises in the analysis of several problem...
AbstractA linear superposition principle of exponential traveling waves is analyzed for Hirota bilin...
Recently a doubly periodic solution of the Kadomtsev-Petviashvili equation was deduced by summing ov...
We apply the Hirota direct method to construct complexiton solutions (complexitons). The key is to u...
This article investigates on the connection between singularity analysis and Hirota method i.e. a di...
Abstract. Several findings on soliton solutions generated by the Kadomtsev-Petviashvili (KP) equatio...
The primary subject matter of the report is the Hirota Direct Method, and the primary goal of the re...
In chapter 2, we study two Kaup-Newell-type matrix spectral problems, derive their soliton hierarchi...
In this paper we obtain one and two soliton solutions to Hirota-Satsuma KdV system with the aid of H...
Through the Bäcklund transformation and Hirota bilinear form, the explicit solutions with localized ...
In this paper, the extended multiple Riccati equations expansion method has been used to construct a...
We employ the idea of Hirota-s bilinear method, to obtain some new exact soliton solutions for high ...
The multiple Exp-function method is employed for searching the multiple soliton solutions for the (2...
The semidiscrete complex modified Korteweg–de Vries equation (semidiscrete cmKdV), which is the secon...
In this work, we study the integrable sinh-Gordon (ShG) and the modified KdV-sinh-Gordon (MKdV-ShG) ...
In this paper, we consider an extended KdV equation, which arises in the analysis of several problem...
AbstractA linear superposition principle of exponential traveling waves is analyzed for Hirota bilin...
Recently a doubly periodic solution of the Kadomtsev-Petviashvili equation was deduced by summing ov...
We apply the Hirota direct method to construct complexiton solutions (complexitons). The key is to u...
This article investigates on the connection between singularity analysis and Hirota method i.e. a di...
Abstract. Several findings on soliton solutions generated by the Kadomtsev-Petviashvili (KP) equatio...
The primary subject matter of the report is the Hirota Direct Method, and the primary goal of the re...
In chapter 2, we study two Kaup-Newell-type matrix spectral problems, derive their soliton hierarchi...
In this paper we obtain one and two soliton solutions to Hirota-Satsuma KdV system with the aid of H...
Through the Bäcklund transformation and Hirota bilinear form, the explicit solutions with localized ...
In this paper, the extended multiple Riccati equations expansion method has been used to construct a...
We employ the idea of Hirota-s bilinear method, to obtain some new exact soliton solutions for high ...
The multiple Exp-function method is employed for searching the multiple soliton solutions for the (2...
The semidiscrete complex modified Korteweg–de Vries equation (semidiscrete cmKdV), which is the secon...
In this work, we study the integrable sinh-Gordon (ShG) and the modified KdV-sinh-Gordon (MKdV-ShG) ...
In this paper, we consider an extended KdV equation, which arises in the analysis of several problem...
AbstractA linear superposition principle of exponential traveling waves is analyzed for Hirota bilin...
Recently a doubly periodic solution of the Kadomtsev-Petviashvili equation was deduced by summing ov...
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