Stability of Traveling Wave Solutions of Nonlinear Dispersive Equations of NLS Type
Katelyn Plaisier Leisman, Jared C. Bronski, Mathew A. Johnson, Robert Marangell
Topics & Concepts
Eigenvalues and eigenvectorsMathematical analysisModulational instabilityLinearizationMathematicsNonlinear systemTraveling waveJordan matrixMonodromy matrixBoundary value problemHamiltonian systemFloquet theoryStability (learning theory)Stability theoryPhysicsPartial differential equationClassical mechanicsQuintic functionMathematical physicsSymplectic geometryPeriodic boundary conditionsBreatherType (biology)Hamiltonian (control theory)Dissipative systemLinear stabilityBoundary (topology)Conserved quantityInstabilityQuadratic equationKlein–Gordon equationMatrix (chemical analysis)Plane waveWave equationExponential stabilityFinite setNonlinear Waves and SolitonsNonlinear Photonic SystemsAdvanced Mathematical Physics Problems