WebThis paper introduces an extension of the time-splitting sine-spectral (TSSP) method for solving damped focusing nonlinear Schrodinger equations (NLS). The method is explicit, unconditionally stable and time transversal invariant. Moreover, it preserves the exact decay rate for the normalization of the wave function if linear damping terms are added to the … Web1 Apr 2011 · We present different regularizations and numerical methods for the nonlinear Schrödinger equation with singular nonlinearity (sNLSE) including the regularized Lie …
The Coupled Nonlinear Schrödinger Equations Describing Power ... - Hindawi
WebOSS/BSS Business Analyst , IT Senior System Consultant and Math engineering PHD, involved in IT Telecom/Banking Systems during more than 10 years. Mainly focused and expert in OSS/BSS, OPEN-RAN, QA, E2E applications integrations, Reporting, Testing, Automation/Virtualization, Analytics, security, datacenters and networking Areas. I am … WebAs the known analytical solutions to such an equation are scarce, the study of the GPE is approached numerically: in particular a pseudo-spectral method known as split-step Fourier method is studied… Show more A theoretical and numerical study of a non-linear Schrödinger equation known as Gross-Pitaevskii equation (GPE) is carried out. facing the red strategy apple books
A SPLITTING METHOD FOR THE NONLINEAR …
WebThe signal was then transmitted using the symmetric split-step Fourier method , which solved the nonlinear Schrödinger equation for signal propagation in the fiber channel. The signal was received coherently, and an ideal chromatic dispersion filter was applied. Web11 Apr 2024 · In this paper, we use two efficient mathematical approaches to obtain a variety of soliton solutions to the (3+1)-dimensional Schrödinger equation: the generalized Riccati equation mapping method and the newly proposed modified generalized exponential rational function method. These techniques extracted standard, illustrative, rich dynamical … Web27 Feb 2024 · On the other hand, the pseudo-spectral methods, also known as split-step methods, are useful to solve the Schrödinger-type equation in a quantum formalism , as well as multiple nonlinear partial differential equations in different contexts such as the NLSE in nonlinear optics formalism , the complex cubic-quintic Ginzburg–Landau equation , the … facing the music meaning