SIAM Journal on Applied Mathematics · 1997 · 12 citations · 20 references
Natural SciencesMathematicsPhysicsDifferential EquationsDynamical SystemsMathematical PhysicsEigenvalue ProblemsIntegrable SystemsPartial Differential EquationsPerturbation MethodsPerturbation TheorySingular Perturbation TheoryEigenvalue ComputationGeometric Singular Perturbation TheoryIntegrable Partial Differential EquationsKorteweg - De Vries EquationPerturbation Of Eigenvalue ProblemsPerturbed Differential-algebraic EquationsSingular Perturbation AnalysisSingular Perturbations In Partial Differential Equations
An eigenvalue problem for the pulse solutions to perturbed generalized Korteweg--de Vries equations is studied. Evans-function techniques with the aid of the geometric approach to singular perturbation problems are employed. This approach leads to a clear understanding of the spectrum of the pulses to the perturbed equations.
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