A5016852121- Nonlinear Waves and Solitons
- Nonlinear Photonic Systems
- Numerical methods for differential equations
- Algebraic structures and combinatorial models
- Quantum Mechanics and Non-Hermitian Physics
- Fractional Differential Equations Solutions
- Quantum chaos and dynamical systems
- Advanced Mathematical Physics Problems
- Advanced Topics in Algebra
- Advanced Fiber Laser Technologies
- Differential Equations and Boundary Problems
Chuzhou University
2017-2022
Zhejiang Normal University
2022
Shanghai University
2017-2018
Abstract In this article, we use the unified transform method to analyze initial-boundary value problem for coupled higher-order nonlinear Schrödinger equations on half-line. Suppose that solution $\{q_1(x,t),q_2(x,t)\}$ exists, show it can be expressed in terms of unique a matrix Riemann–Hilbert formulated plane complex spectral parameter $\lambda$ .
In this work, from the generalized Kaup–Newell (KN) equation spectral problem, super KN and its bi-Hamiltonian structure are constructed based on a Lie super-algebras super-trace identity. Besides, with self-consistent sources is also discussed.
An integrable generalization of the super Kaup-Newell(KN) isospectral problem is introduced and its corresponding generalized KN soliton hierarchy are established based on a Lie super-algebra B(0,1) super-trace identity in this paper. And resulting can be put into bi-Hamiltonian form. In addition, with self-consistent sources also presented.
In this paper, a mixed Kuper-CH-HS equation by Kupershmidt deformation is introduced and its integrable properties are studied. Moreover, that the can be viewed as constraint Hamiltonian flow on coadjoint orbit of Neveu-Schwarz superalgebra shown.
The unified transform method is used to analyze the initial-boundary value problem for coupled derivative nonlinear Schrödinger(CDNLS) equations on half-line. In this paper, we assume that solution $u(x,t)$ and $v(x,t)$ of CDNLS are exists, show it can be expressed in terms unique a matrix Riemann-Hilbert formulated plane complex spectral parameter $λ$.