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Rogue waves of the sixth-order nonlinear Schrodinger equation on a periodic background

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Communications in Theoretical Physics 2022年第5期74卷 1-9页

作者： Wei Shi zhaqilao College of Mathematics Science Inner Mongolia Normal UniversityHohhot 010022.China Center for Applied Mathematical Science Inner Mongolia Hohhot 010022 China

In this paper,we construct the rogue wave solutions of the sixth-order nonlinear Schrodinger equation on a background of Jacobian elliptic functions dn and cn by means of the nonlinearization of a spectral problem and Darboux transformation *** solutions we find present the dynamic phenomena of higher-order nonlinear wave equations.

关键词： rogue wave on a periodic background sixth-order nonlinear Schrodinger equation Darboux transformation Jacobian elliptic function

Rogue waves for the(2+1)-dimensional Myrzakulov–Lakshmanan-Ⅳ equation on a periodic background

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Communications in Theoretical Physics 2024年第4期76卷 32-42页

作者： Xiao-Hui Wang zhaqilao College of Mathematics Science Inner Mongolia Normal UniversityHohhot 010022China Laboratory of Infinite-dimensional Hamiltonian System and Its algorithm Application Hohhot 010022China Center for Applied Mathematical Science Inner MongoliaHohhot 010022China

In this paper, the rogue wave solutions of the(2+1)-dimensional Myrzakulov–Lakshmanan(ML)-Ⅳ equation, which is described by five component nonlinear evolution equations, are studied on a periodic background. By using the Jacobian elliptic function expansion method, the Darboux transformation(DT) method and the nonlinearization of the Lax pair, two kinds of rogue wave solutions which are expressed by Jacobian elliptic functions dn and cn, are *** relationship between these five kinds of potential is summarized systematically. Firstly, the periodic rogue wave solution of one potential is obtained, and then the periodic rogue wave solutions of the other four potentials are obtained directly. The solutions we find present the dynamic phenomena of higher-order nonlinear wave equations.

关键词： rogue waves on a periodic background (2+1)-dimensional Myrzakulov-Lakshmanan-IV equation Darboux transformation Jacobian elliptic function

New Multi-soliton Solutions for the (2+1)-Dimensional Kadomtsev-Petviashvili Equation

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Communications in Theoretical Physics 2008年第3期49卷 585-589页

作者： zhaqilao LI Zhi-Bin Department of Computer Science East China Normal University Shanghai 200062 China College of Mathematics Science Inner Mongolia Normal University Huhhot 010022 China

In this paper, an explicit N-fold Darboux transformation with multi-parameters for both a （1＋1）- dimensional Broer-Kaup （BK） equation and a （1＋1）-dimensional high-order Broer-Kaup equation is constructed with the help of a gauge transformation of their spectral problems. By using the Darboux transformation and new basic solutions of the spectral problems, 2N-soliton solutions of the BK equation, the high-order BK equation, and the Kadomtsev-Petviashvili （KP） equation are obtained.

关键词： Darboux transformation soliton solution KP equation BK equation

Multiple Periodic-Soliton Solutions for(3+1)-Dimensional Jimbo-Miwa Equation

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Communications in Theoretical Physics 2008年第11期50卷 1036-1040页

作者： zhaqilao LI Zhi-Bin College of Mathematics Science Inner Mongolia Normal University Huhhot 010022 China Department of Computer Science East China Normal University Shanghai 200062 China

2N line-soliton solutions of the (3+1)-dimensional Jimbo-Miwa equation can be presented by resorting tothe Hirota bilinear *** this paper,N periodic-soliton solutions of the (3+1)-dimensional Jimbo-Miwa equationare ob... 详细信息

关键词： periodic-soliton solution Jimbo Miwa equation Hirota bilinear method

Rogue waves of the sixth-order nonlinear Schr?dinger equation on a periodic background

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Communications in Theoretical Physics 2022年第5期74卷 5-13页

作者： Wei Shi zhaqilao College of Mathematics Science Inner Mongolia Normal University Center for Applied Mathematical Science

In this paper, we construct the rogue wave solutions of the sixth-order nonlinear Schr?dinger equation on a background of Jacobian elliptic functions dn and cn by means of the nonlinearization of a spectral problem and Darboux transformation approach. The solutions we find present the dynamic phenomena of higher-order nonlinear wave equations.

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