A hypergeometric function approach to the persistence problem of single sine-Gordon breathers

DOI10.1090/S0002-9947-97-01951-XzbMath0906.35091OpenAlexW1494071614MaRDI QIDQ4372570

Jochen Denzler

Publication date: 16 December 1997

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-97-01951-x

zbMATH Keywords

Laplace transformpersistencehypergeometric functionsine-Gordon equationsaddle point analysissine-Gordon breathersperturbation functions

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Periodic solutions to PDEs (35B10) Laplace transform (44A10) Classical hypergeometric functions, ({}_2F_1) (33C05)

Related Items (2)

Asymptotic expansions of the hypergeometric function with two large parameters—application to the partition function of a lattice gas in a field of traps ⋮ On the oscillons in the signum-Gordon model

Cites Work

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• Nonpersistence of breather families for the perturbed sine Gordon equation
• Second order nonpersistence of the sine Gordon breather under an exceptional perturbation
• Die hypergeometrischen Differentialgleichungen der Gasdynamik
• Stationary Phase with Neighboring Critical Points
• The rigidity of sine‐gordon breathers
• A Class of Integral Transforms
• Uniform asymptotic expansions of integrals with stationary point near algebraic singularity
• Uniform Asymptotic Formulae for Functions with Transition Points

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