Asymptotics for the modified Boussinesq equation in one space dimension

Nakao Hayashi; Pavel I. Naumkin

Asymptotics for the modified Boussinesq equation in one space dimension

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Abstract

We consider the Cauchy problem for the modified Boussinesq equation in one space dimension where a > 0: We study the large time asymptotics of solutions to the Cauchy problem for the modified Boussinesq equation. We apply the factorization technique developed recently in papers [5], [6], [7], [8].

Original language	English
Pages (from-to)	239-294
Number of pages	56
Journal	Advances in Differential Equations
Volume	23
Issue number	3-4
Publication status	Published - 2018 Mar 1
Externally published	Yes

ASJC Scopus subject areas

Analysis
Applied Mathematics

Cite this

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title = "Asymptotics for the modified Boussinesq equation in one space dimension",

abstract = "We consider the Cauchy problem for the modified Boussinesq equation in one space dimension where a > 0: We study the large time asymptotics of solutions to the Cauchy problem for the modified Boussinesq equation. We apply the factorization technique developed recently in papers [5], [6], [7], [8].",

author = "Nakao Hayashi and Naumkin, {Pavel I.}",

note = "Funding Information: where W1± = −2e|Λ′′(ξ)|∓ipi4 √{ξ}W3±. This completes the proof of asymptotics (1.4). Theorem 1.1 is proved. Acknowledgments. We are grateful to unknown referees for many useful suggestions and comments. The work of N.H. is partially supported by JSPS KAKENHI Grant Numbers JP25220702, JP15H03630. The work of P.I.N. is partially supported by CONACYT and PAPIIT project IN100616.",

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N1 - Funding Information: where W1± = −2e|Λ′′(ξ)|∓ipi4 √{ξ}W3±. This completes the proof of asymptotics (1.4). Theorem 1.1 is proved. Acknowledgments. We are grateful to unknown referees for many useful suggestions and comments. The work of N.H. is partially supported by JSPS KAKENHI Grant Numbers JP25220702, JP15H03630. The work of P.I.N. is partially supported by CONACYT and PAPIIT project IN100616.

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N2 - We consider the Cauchy problem for the modified Boussinesq equation in one space dimension where a > 0: We study the large time asymptotics of solutions to the Cauchy problem for the modified Boussinesq equation. We apply the factorization technique developed recently in papers [5], [6], [7], [8].

AB - We consider the Cauchy problem for the modified Boussinesq equation in one space dimension where a > 0: We study the large time asymptotics of solutions to the Cauchy problem for the modified Boussinesq equation. We apply the factorization technique developed recently in papers [5], [6], [7], [8].

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Asymptotics for the modified Boussinesq equation in one space dimension

Abstract

ASJC Scopus subject areas

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