Integrable properties of the general coupled nonlinear Schrödinger equations
- Deng‐Shan Wang, Da‐jun Zhang, Jianke Yang
- Physics, Mathematics
- 2 February 2010
In this paper, a general integrable coupled nonlinear Schrodinger system is investigated. In this system, the coefficients of the self-phase modulation, cross-phase modulation, and four-wave mixing…
Solutions to the modified Korteweg-de Vries equation
- Da‐jun Zhang, Songlin Zhao, Ying-ying Sun, Jing Zhou
- Mathematics
- 27 March 2012
This is a continuation of Ref.[1](arXiv:nlin.SI/0603008). In the present paper we review solutions to the modified Korteweg-de Vries equation in terms of Wronskians. The Wronskian entry vector needs…
Hamiltonian structure of discrete soliton systems
- Da‐jun Zhang, Dengyuan Chen
- Mathematics
- 7 August 2002
We describe an approach for investigating the Hamiltonian structures of the lattice isospectral evolution equations associated with a general discrete spectral problem. By using the so-called…
Soliton scattering with amplitude changes of a negative order AKNS equation
- Da‐jun Zhang, Jie Ji, Songlin Zhao
- Physics
- 1 December 2009
The Multisoliton Solutions of the KP Equation with Self-consistent Sources
- Shu-fang Deng, Dengyuan Chen, Da‐jun Zhang
- Mathematics, Physics
- 15 September 2003
The KP equation with self-consistent sources is derived through the linear problem of the KP system. The multisoliton solutions for the KP equation with self-consistent sources are obtained by using…
On Decomposition of the ABS Lattice Equations and Related Bäcklund Transformations
- Dan-da Zhang, Da‐jun Zhang
- Mathematics
- 2 May 2017
The Adler-Bobenko-Suris (ABS) list contains scalar quadrilateral equations which are consistent around the cube, and have D4 symmetry and tetrahedron property. Each equation in the ABS list admits a…
Solutions of Nonlocal Equations Reduced from the AKNS Hierarchy
- Kui-Yo Chen, Xiao Deng, Sen-uye Lou, Da‐jun Zhang
- Mathematics, Physics
- 1 July 2018
In this paper, nonlocal reductions of the Ablowitz–Kaup–Newell–Suger (AKNS) hierarchy are collected, including the nonlocal nonlinear Schrödinger hierarchy, nonlocal modified Korteweg‐de Vries…
The conservation laws of some discrete soliton systems
- Da‐jun Zhang, Dengyuan Chen
- Physics, Mathematics
- 1 September 2002
The exact solutions for the nonisospectral AKNS hierarchy through the inverse scattering transform
- Tong-ke Ning, Dengyuan Chen, Da‐jun Zhang
- Mathematics, Physics
- 15 August 2004
Soliton solutions for ABS lattice equations: II. Casoratians and bilinearization
- J. Hietarinta, Da‐jun Zhang
- Mathematics
- 10 March 2009
In Part I soliton solutions to the ABS list of multi-dimensionally consistent difference equations (except Q4) were derived using connection between the Q3 equation and the NQC equations, and then by…
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