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Scattering of Solitons of Modified KdV Equation with Self-consistent Sources

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Communications in Theoretical Physics 2008年第4期49卷 809-814页

作者： zhang da-jun WU Hua Department of Mathematics Shanghai University Shanghai 200444 China

This paper investigates in detail the dynamics of the modified KdV equation with self-consistent sources, including characteristics of one-soliton, scattering conditions and phase shifts of two solitons, degenerate ca... 详细信息

关键词： modified kdV equation with self-consistent source soliton scattering

A Note on Casoratian Solutions to Two-Dimensional Toda Lattice

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Communications in Theoretical Physics 2007年第3期47卷 390-392页

作者： zhang da-jun WU Hua Department of Mathematics Shanghai University Shanghai 200444 China

In this short paper we generalize the conditions that Casoratian entries satisfy for the two-dlmenslonal Toda lattice. Although we finally conclude that our generalization is trivial in some sense for getting new solu... 详细信息

关键词： Casoratian solution two-dimensional Toda lattice bilinear

Strong Symmetries of Non-Isospectral Ablowitz-Ladik Equations

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Chinese Physics Letters 2011年第2期28卷 9-11页

作者： WU Hua zhang da-jun Department of Mathematics Shanghai UniversityShanghai 200444

For each non-isospectral Ablowitz-Ladik equation a strong symmetry operator is *** strong symmetry contains time variable explicitly and by means of it two sets of symmetries are *** derivative formulae between the strong symmetry and symmetries are derived,by which the obtained symmetries are shown to compose a centerless Kac-Moody-Virasoro *** symmetries for non-isospectral Ablowitz-Ladik equations are also discussed.

关键词： algebra symmetry symmetries

The Hamiltonian Structures of μ-Equations Related to Periodic Peakons

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Chinese Physics Letters 2013年第8期30卷 1-3页

作者： FU Wei zhang da-jun Department of Mathematics Shanghai UniversityShanghai 200444

The hierarchies of the μ-Camassa–Holm,two-component μ-Camassa–Holm and μ-modified Camassa–Holm equations are constructed from bi-Hamiltonian structures of the Korteweg-de Vries equation,the Ito equation and the modified Korteweg-de Vries *** key Hamiltonian operator that includes μ is ■χμ−■^(3)χ,and the inner product used to define the Jacobi identity of the Hamiltonian operators is defined on the unit circle S^(1).

关键词： equation. Hamiltonian equation

Generalized Wronskian Solutions to Modified Korteweg-de Vries Equation via Its Bcklund Transformation

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Communications in Theoretical Physics 2008年第7期50卷 13-16页

作者： XUAN Qi-Fei zhang da-jun Department of Mathematics Shanghai University Shanghai 200444 China

In the paper we discuss the Wronskian solutions of modified Korteweg-de Vries equation （mKdV） via the Backlund transformation （BT） and a generalized Wronskian condition is given, which allows us to substitute an a... 详细信息

关键词： the modified Korteweg-de Vries equation (mKdV) generalized Wronskian solutions bilinear form Backlund transformation (BT)

Conservation Laws of a Discrete Soliton System

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Communications in Theoretical Physics 2008年第5期49卷 1105-1108页

作者： JI Jie zhang da-jun zhang Jia-Jiang College of Statistics and Computing Science Zhejiang Gongshang University Hangzou 310018 China Department of Mathematics Shanghai University Shanghai 200444 China

In this paper, we obtain an infinite number of conservation laws for a discrete soliton system by using a solvable generalized Riccati equation.

关键词： Conservation law discrete soliton system Lax integrable

Soliton Solutions for a Negative Order AKNS Equation Hierarchy

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Communications in Theoretical Physics 2009年第9期52卷 395-397页

作者： JI Jie zhang Jian-Bing zhang da-jun College of Statistics and Mathematics Zhejiang Gongshang University Hangzhou 310018 China School of Mathematics Science Xuzhou Normal University Xuzhou 221116 China Department of Mathematics Shanghai University Shanghai 200444 China

In this paper,bilinear form of a negative order AKNS equation hierarchy is *** soliton solutionsare obtained through Hiorta's direct method.

关键词： negative order AKNS equation hierarchy Hiorta's direct method soliton solution

Soliton Solutions for a Negative Order AKNS Equation

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Communications in Theoretical Physics 2008年第11期50卷 1033-1035页

作者： JI Jie ZHAO Song-Lin zhang da-jun College of Statistics and Mathematics Zhejiang Gongshang University Hangzhou 310018 China Department of Mathematics Shanghai University Shanghai 200444 China

In this short paper,bilinear form of a negative order AKNS equation is *** N-soliton solutions areobtained through Hiorta's direct method.

关键词： negative order AKNS equation Hiorta's direct method soliton solution

Casoratian Solutions to a Non-isospectral Differential-Difference Kadomtsev-Petviashvilli Equation

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Communications in Theoretical Physics 2008年第9期50卷 557-560页

作者： JI Jie zhang da-jun CHEN Deng-Yuan College of Statistics and Mathematics Zhejiang Gongshang University Hangzhou 310018 China Department of Mathematics Shanghai University Shanghai 200444 China

In this paper, a non-isospectrai differential-difference Kadomtsev-Petviashvilli equation （n-D△KPE） is presented. Then, the Casoratian solutions of the n-D△KPE are obtained by generalizing Casoratian conditions of... 详细信息

关键词： n-D△KPK Wronskian technique Casoratian condition