Similarity transformations and exact solutions of the \((3 + 1)\)-Dimensional nonlinear Schrödinger equation with spatiotemporally varying coefficients
DOI10.1016/J.AML.2024.109286MaRDI QIDQ6620453
Publication date: 16 October 2024
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Periodic solutions to PDEs (35B10) NLS equations (nonlinear Schrödinger equations) (35Q55) Geometric theory, characteristics, transformations in context of PDEs (35A30) Solutions to PDEs in closed form (35C05) Soliton solutions (35C08) Time-dependent Schrödinger equations and Dirac equations (35Q41)
Cites Work
- Title not available (Why is that?)
- Symmetry analysis and rogue wave solutions for the \((2+1)\)-dimensional nonlinear Schrödinger equation with variable coefficients
- Exact solutions for the quintic nonlinear Schrödinger equation with time and space modulated nonlinearities and potentials
- Topological 1-soliton solution of the nonlinear Schrödinger equation with Kerr law nonlinearity in \(1 + 2\) dimensions
- 1-soliton solution of the coupled KdV equation and Gear-Grimshaw model
- Interplay of the pseudo-Raman term and trapping potentials in the nonlinear Schrödinger equation
- A novel \((3+1)\)-dimensional sine-Gorden and a sinh-Gorden equation: derivation, symmetries and conservation laws
- Exact solution of the two-mode model of multicomponent Bose-Einstein condensates
- On the modified Gardner type equation and its time fractional form
- Dark solitary pulses and moving fronts in an optical medium with the higher-order dispersive and nonlinear effects
- Nonlocal symmetries and solutions of the \((2+1)\) dimension integrable Burgers equation
- Multi-symplectic simulations of W/M-shape-peaks solitons and cuspons for FORQ equation
- Point-symmetry pseudogroup, Lie reductions and exact solutions of Boiti-Leon-Pempinelli system
- Motion dynamics of two-dimensional fundamental and vortex solitons in the fractional medium with the cubic-quintic nonlinearity
This page was built for publication: Similarity transformations and exact solutions of the \((3 + 1)\)-Dimensional nonlinear Schrödinger equation with spatiotemporally varying coefficients
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6620453)