Self-similar asymptotics for solutions to the intermediate long-wave equation View Full Text


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Article Info

DATE

2019-03-22

AUTHORS

Fernando Bernal-Vílchis, Pavel I. Naumkin

ABSTRACT

We consider the Cauchy problem for the intermediate long-wave equation ut-∂xu2+1ϑux+VP∫R12ϑcothπy-x2ϑuyyt,ydy=0,where ϑ>0. Our purpose in this paper is to prove the large time asymptotic behavior of solutions under the nonzero mass condition ∫u0xdx≠0.

PAGES

1-42

References to SciGraph publications

  • 2017-10. Construction of a minimal mass blow up solution of the modified Benjamin–Ono equation in MATHEMATISCHE ANNALEN
  • 1989. Asymptotic Methods in Analysis in ANALYSIS I
  • 1983-12. Generalized internal long waves equations: Construction, Hamiltonian structure, and conservation laws in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 2001-09. On the Modified Korteweg–De Vries Equation in MATHEMATICAL PHYSICS, ANALYSIS AND GEOMETRY
  • 2011-12. Intermediate long-wave equation on a half-line in JOURNAL OF EVOLUTION EQUATIONS
  • 2015-10. Factorization technique for the fourth-order nonlinear Schrödinger equation in ZEITSCHRIFT FÜR ANGEWANDTE MATHEMATIK UND PHYSIK
  • 2008-11. The initial value problem for the cubic nonlinear Klein–Gordon equation in ZEITSCHRIFT FÜR ANGEWANDTE MATHEMATIK UND PHYSIK
  • Journal

    TITLE

    Journal of Evolution Equations

    ISSUE

    N/A

    VOLUME

    N/A

    Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s00028-019-00498-5

    DOI

    http://dx.doi.org/10.1007/s00028-019-00498-5

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1112945366


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