Exact Multisoliton Solutions of General Nonlinear Schrödinger Equation with Derivative [PDF]
The Scientific World Journal, 2014 Multisoliton solutions are derived for a general nonlinear Schrödinger equation with derivative by using Hirota’s approach. The dynamics of one-soliton solution and two-soliton interactions are also illustrated.
Qi Li, Qiu-yuan Duan, Jian-bing Zhang
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Rogue periodic waves of the focusing nonlinear Schrödinger equation. [PDF]
Proc Math Phys Eng Sci, 2018 Rogue periodic waves stand for rogue waves on a periodic background. The nonlinear Schrödinger equation in the focusing case admits two families of periodic wave solutions expressed by the Jacobian elliptic functions dn and cn.
Chen J, Pelinovsky DE.
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Explicit solitary wave structure for the stochastic resonance nonlinear Schrödinger equation under Brownian motion with dynamical analysis [PDF]
Scientific ReportsThis study, analyzed the explicit solitary wave soliton for the stochastic resonance nonlinear Schrödinger equation under the Brownian motion. The Schrödinger equations are mostly used to describe how light moves via planar wave guides and nonlinear ...
Sumaira Nawaz +4 more
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Solving localized wave solutions of the derivative nonlinear Schrödinger equation using an improved PINN method [PDF]
Nonlinear dynamics, 2021 The solving of the derivative nonlinear Schrödinger equation (DNLS) has attracted considerable attention in theoretical analysis and physical applications.
J. Pu, Jun Li, Yong Chen
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Finite difference method for a nonlinear fractional Schrödinger equation with Neumann condition [PDF]
E-Journal of Analysis and Applied Mathematics, 2020 In this paper, a special case of nonlinear fractional Schrödinger equation with Neumann boundary condition is considered. Finite difference method is implemented to solve the nonlinear fractional Schrödinger problem with Neumann boundary condition ...
Betul Hicdurmaz
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Partial Differential Equations in Applied Mathematics, 2022 This work justifies the generalized Schrödinger-like equation with logarithmic nonlinearity in the statistical theory of cosmogonical body formation. Within the framework of this theory, the models and evolution equations of the statistical mechanics ...
Alexander M. Krot
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Soliton, breather, and rogue wave solutions for solving the nonlinear Schrödinger equation using a deep learning method with physical constraints [PDF]
Chinese Physics B, 2020 The nonlinear Schrödinger equation is a classical integrable equation which contains plenty of significant properties and occurs in many physical areas.
Jun-Cai 俊才 Pu 蒲 +2 more
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Evolution of Water Wave Groups in the Forced Benney–Roskes System
Fluids, 2023 For weakly nonlinear waves in one space dimension, the nonlinear Schrödinger Equation is widely accepted as a canonical model for the evolution of wave groups described by modulation instability and its soliton and breather solutions.
Montri Maleewong, Roger H. J. Grimshaw
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Results in Physics, 2023 This article studies the generalized nonlinear Schrödinger equation, which is used to simulate the propagation model of optical pulses in Non-Kerr medium.
Kun Zhang, Zhao Li
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Efficient Computation of the Nonlinear Schrödinger Equation with Time-Dependent Coefficients [PDF]
, 2020 open access articleMotivated by the limited work performed on the development of computational techniques for solving the nonlinear Schrödinger equation with time-dependent coefficients, we develop a modified Runge-Kutta pair with improved periodicity ...
Anastassi, Zacharias +3 more
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