Highly dispersive optical solitons in polarization-preserving fibers with Kerr law nonlinearity by Lie symmetry
DOI10.1016/j.physleta.2021.127768zbMath1479.78023OpenAlexW3209875641MaRDI QIDQ2246920
Anjan Biswas, Padmaja Guggilla, Abdullah Kamis Alzahrani, Milivoj R. Belic, Gang-Wei Wang, Abdul Hamid Kara
Publication date: 16 November 2021
Published in: Physics Letters. A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physleta.2021.127768
Applications of Lie groups to the sciences; explicit representations (22E70) NLS equations (nonlinear Schrödinger equations) (35Q55) Lasers, masers, optical bistability, nonlinear optics (78A60) Noncompact semigroups, dispersive equations, perturbations of infinite-dimensional dissipative dynamical systems (37L50) Soliton solutions (35C08) Symmetries, invariants, etc. in context of PDEs (35B06) Time-dependent Schrödinger equations and Dirac equations (35Q41)
Related Items
Cites Work
- Unnamed Item
- The \((\frac{G'}{G})\)-expansion method and travelling wave solutions of nonlinear evolution equations in mathematical physics
- Applications of symmetry methods to partial differential equations
- Solitary wave solutions of hierarchy with non-local nonlinearity
- A novel \((3+1)\)-dimensional sine-Gorden and a sinh-Gorden equation: derivation, symmetries and conservation laws
- A (2+1)-dimensional sine-Gordon and sinh-Gordon equations with symmetries and kink wave solutions
- Highly dispersive optical solitons of an equation with arbitrary refractive index
- Symmetry reduction, exact solutions and conservation laws of a new fifth-order nonlinear integrable equation
- Symmetry analysis and exact solutions of the 2+1 dimensional sine-Gordon system
- Lie symmetry analysis for complex soliton solutions of coupled complex short pulse equation
- SYMMETRY ANALYSIS FOR A SEVENTH-ORDER GENERALIZED KdV EQUATION AND ITS FRACTIONAL VERSION IN FLUID MECHANICS
