Bright–dark solitons in the space-shifted nonlocal coupled nonlinear Schrödinger equation
نویسندگان
چکیده
Multiple bright–dark soliton solutions in terms of determinants for the space-shifted nonlocal coupled nonlinear Schrödinger equation are constructed by using bilinear (Kadomtsev–Petviashvili) KP hierarchy reduction method. It is found that two-soliton only occurs elastic collisions. Upon their amplitudes, bright two solitons admit one pattern whose amplitude equal, and dark have three different non-degenerated patterns degenerated patterns. The four-soliton superposition pairs can generate bound-state solitons. multiple double-pole derived through a long wave limit obtained solutions, collision dynamics also investigated.
منابع مشابه
Integrable nonlocal nonlinear Schrödinger equation.
A new integrable nonlocal nonlinear Schrödinger equation is introduced. It possesses a Lax pair and an infinite number of conservation laws and is PT symmetric. The inverse scattering transform and scattering data with suitable symmetries are discussed. A method to find pure soliton solutions is given. An explicit breathing one soliton solution is found. Key properties are discussed and contras...
متن کاملChaoticons described by nonlocal nonlinear Schrödinger equation
It is shown that the unstable evolutions of the Hermite-Gauss-type stationary solutions for the nonlocal nonlinear Schrödinger equation with the exponential-decay response function can evolve into chaotic states. This new kind of entities are referred to as chaoticons because they exhibit not only chaotic properties (with positive Lyapunov exponents and spatial decoherence) but also soliton-lik...
متن کاملRogue waves in the two dimensional nonlocal nonlinear Schrödinger equation and nonlocal Klein-Gordon equation
In this paper, we investigate two types of nonlocal soliton equations with the parity-time (PT) symmetry, namely, a two dimensional nonlocal nonlinear Schrödinger (NLS) equation and a coupled nonlocal Klein-Gordon equation. Solitons and periodic line waves as exact solutions of these two nonlocal equations are derived by employing the Hirota's bilinear method. Like the nonlocal NLS equation, th...
متن کاملStochastic Acceleration of Solitons for the Nonlinear Schrödinger Equation
The effective dynamics of solitons for the generalized nonlinear Schrödinger equation in a random potential is rigorously studied. It is shown that when the external potential varies slowly in space compared to the size of the soliton, the dynamics of the center of the soliton is almost surely described by Hamilton’s equations for a classical particle in the random potential, plus error terms d...
متن کاملDirect perturbation theory for solitons of the derivative nonlinear Schrödinger equation and the modified nonlinear Schrödinger equation.
A direct perturbation theory for solitons of the derivative nonlinear Schrödinger (DNLS) equation is developed based on a closure of eigenfunctions of the linearized DNLS equation around a one-soliton solution. The slow evolution of soliton parameters and the perturbation-induced radiation are obtained. Under the known simple gaugelike transformation, these results are transformed into those fo...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Nonlinear Dynamics
سال: 2022
ISSN: ['1573-269X', '0924-090X']
DOI: https://doi.org/10.1007/s11071-022-07269-x