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Drag force in bimodal cubic-quintic nonlinear Schrödinger equation
David Feijoo1, Ismael Ordóñez1, Angel Paredes1
1Área de Óptica, Departamento de Física Aplicada, Universidade de Vigo, As Lagoas s/n, Ourense ES-32004, Spain.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|October 15, 2014
Summary
We studied interacting nonlinear Schrödinger equations, finding D'Alembert's paradox for small velocities and drag forces for larger ones. This reveals novel dynamics in coupled nonlinear systems.
Area of Science:
- Nonlinear Optics
- Mathematical Physics
Background:
- Nonlinear Schrödinger equations are fundamental in describing wave phenomena.
- Coupled systems exhibit complex behaviors not seen in single equations.
Purpose of the Study:
- To analyze the interaction between two coupled cubic-quintic nonlinear Schrödinger equations.
- To investigate the dynamics of a probe lump within a fluid of another mode.
Main Methods:
- Analytical investigation of D'Alembert's paradox.
- Numerical simulations of dynamical evolution.
- Search for static and traveling form-preserving solutions.
Main Results:
- Realization of D'Alembert's paradox for low velocities.
- Observation of nontrivial drag forces at higher velocities.
- Identification of static and traveling solutions.
Conclusions:
- The coupled system exhibits unique phenomena like paradoxical wave resistance.
- Numerical simulations validate analytical findings and explore complex dynamics.
- The study provides insights into nonlinear wave interactions and stability.
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