Through the Bäcklund transformation and Hirota bilinear form, the explicit solutions with localized structures for the (2+1)-dimensional Hirota–Satsuma–Ito equation are solved. These structures include several soliton molecules and hybrid structures, which mainly involve the Y-type solitons, lumps and breathers. All of the dynamic features are depicted in our paper
We discuss some properties of the soliton equations of the type ∂u/∂t = S[u, ū], where S is a nonlin...
International audienceWe consider a simplest two-dimensional reduction of the remarkable three-dimen...
AbstractA linear superposition principle of exponential traveling waves is analyzed for Hirota bilin...
This article focuses on the exploration of novel soliton molecules for the (2+1)-dimensional Kortewe...
AbstractUnder investigation in this paper is the Hirota–Maccari equation, which is a generalized (2+...
In this work, we study the generalized (2+1)-dimensional Hietarinta equation by utilizing Hirota's b...
We employ the idea of Hirota-s bilinear method, to obtain some new exact soliton solutions for high ...
In this letter, we apply two different ansatzs for constructing the lump soliton and mixed lump stri...
The central target of this research is looking into some novel solutions of the (3 + 1)-dimensional ...
In this work, we established some exact solutions for the (3 + 1)-dimensional potential-Yu-Toda-Sasa...
The 2+1-dimensional elliptic Toda equation is a higher dimensional generalization of the Toda lattic...
With the aid of the binary Hirota polynomial scheme, the bilinear form of the generalized (3 + 1)-di...
AbstractIn this work we study four (3+1)-dimensional nonlinear evolution equations, generated by the...
We apply the Hirota direct method to construct complexiton solutions (complexitons). The key is to u...
Abstract. Several findings on soliton solutions generated by the Kadomtsev-Petviashvili (KP) equatio...
We discuss some properties of the soliton equations of the type ∂u/∂t = S[u, ū], where S is a nonlin...
International audienceWe consider a simplest two-dimensional reduction of the remarkable three-dimen...
AbstractA linear superposition principle of exponential traveling waves is analyzed for Hirota bilin...
This article focuses on the exploration of novel soliton molecules for the (2+1)-dimensional Kortewe...
AbstractUnder investigation in this paper is the Hirota–Maccari equation, which is a generalized (2+...
In this work, we study the generalized (2+1)-dimensional Hietarinta equation by utilizing Hirota's b...
We employ the idea of Hirota-s bilinear method, to obtain some new exact soliton solutions for high ...
In this letter, we apply two different ansatzs for constructing the lump soliton and mixed lump stri...
The central target of this research is looking into some novel solutions of the (3 + 1)-dimensional ...
In this work, we established some exact solutions for the (3 + 1)-dimensional potential-Yu-Toda-Sasa...
The 2+1-dimensional elliptic Toda equation is a higher dimensional generalization of the Toda lattic...
With the aid of the binary Hirota polynomial scheme, the bilinear form of the generalized (3 + 1)-di...
AbstractIn this work we study four (3+1)-dimensional nonlinear evolution equations, generated by the...
We apply the Hirota direct method to construct complexiton solutions (complexitons). The key is to u...
Abstract. Several findings on soliton solutions generated by the Kadomtsev-Petviashvili (KP) equatio...
We discuss some properties of the soliton equations of the type ∂u/∂t = S[u, ū], where S is a nonlin...
International audienceWe consider a simplest two-dimensional reduction of the remarkable three-dimen...
AbstractA linear superposition principle of exponential traveling waves is analyzed for Hirota bilin...