The Landau-Lifshitz equation, the NLS, and the magnetic rogue wave as a by-product of two colliding regular ``positons
DOI10.3390/sym10040082zbMath1423.35361arXiv1701.04903OpenAlexW2582902021MaRDI QIDQ2331794
Valerian A. Yurov, Artyom V. Yurov
Publication date: 30 October 2019
Published in: Symmetry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1701.04903
nonlinear Schrödinger equationLandau-Lifshitz-Gilbert equationDarboux transformationpositonsP-breathers
PDEs in connection with optics and electromagnetic theory (35Q60) Transform methods (e.g., integral transforms) applied to PDEs (35A22) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton solutions (35C08) Statistical mechanics of nanostructures and nanoparticles (82D80)
Related Items (2)
Cites Work
- Magnetic rogue wave in a perpendicular anisotropic ferromagnetic nanowire with spin-transfer torque
- Positon and positon-like solutions of the Korteweg-de Vries and sine-Gordon equations.
- Dressing chains and the spectral theory of the Schrödinger operator
- Darboux transformation for classical acoustic spectral problem
- Positons: Slowly decreasing analogues of solitons
- The dressing chain of discrete symmetries and proliferation of nonlinear equations
- Supersymmetry of generalized linear Schrödinger equations in \((1+1)\) dimensions
- Water waves, nonlinear Schrödinger equations and their solutions
- The world of the complex Ginzburg-Landau equation
- Positon solutions of the sine-Gordon equation
- Parastatistics, supersymmetry and parasupercoherent states
- Discrete symmetry’s chains and links between integrable equations
- The Factorization Method
- Third version of the dressing method
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: The Landau-Lifshitz equation, the NLS, and the magnetic rogue wave as a by-product of two colliding regular ``positons
