Symmetry in Nonlinear Schrödinger Equations
A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Mathematics".
Deadline for manuscript submissions: 31 March 2025 | Viewed by 576
Special Issue Editor
Special Issue Information
Dear Colleagues,
The nonlinear Schrödinger equation (NLSE) is involved in various physical settings. It is a partial differential equation that governs the wave function of a quantum-mechanical system. It is known that NLSE can be solved exactly only for the simplest of systems. Rapid computational methods bring the promise of solving the NLSE for complex systems and have opened extraordinary theoretic and application-based opportunities. In recent years, abundant theories and algorithms have been developed and proposed and applied to solve NLSE practice problems. Motivated by these discoveries, substantial techniques of solving NLSE are investigated in various domains, such as surface gravity waves, superconductivity, nonlinear optics, and BEC, etc.
This Special Issue “Symmetry in Nonlinear Schrödinger Equations” aims to gather and showcase the most recent advances in the nonlinear Schrödinger equation (NLSE). We are interested in the whole spectrum of nonlinear Schrödinger equations (NLSEs) and their symmetries applied to relevant problems from all related areas, including numerical simulation and modeling, numerical algorithm, theoretical analysis and applications in practical problems. A list of the topics of interest can be found below:
- Theoretical analysis of NLSEs;
- The symmetry in NLSEs;
- Various codes for solving 1D/2D/3D NLSEs;
- Numerical algorithms for solving NLSEs;
- Multi-body NLSEs;
- Application of NLSEs in a wide range of areas
Dr. Jinlian Ren
Guest Editor
Manuscript Submission Information
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Keywords
- NLSE
- theoretical solution
- numerical algorithms
- codes
- applications
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