Modified scattering states for subcritical derivative nonlinear schrödinger equations: Modified scattering states

Nakao Hayashi; Pavel I. Naumkin; Yasuko Yamazaki

doi:10.1080/00036810108840986

Modified scattering states for subcritical derivative nonlinear schrödinger equations: Modified scattering states

Nakao Hayashi, Pavel I. Naumkin, Yasuko Yamazaki

Research output: Contribution to journal › Article › peer-review

Abstract

We consider thre derivative nonlinear Schrödinger equations (Formula presented.) where the coefficient a(t) satisfies the condition (Formula presented.) is a sufficiently small constant and (Formula presented.) (Formula presented.) We suppose that the initial data satisfy the exponential decay conditions. Then in the case (Formula presented.) we show that the usual scattering states exist, and in the other case we construct the modified scattering states.

Original language	English
Pages (from-to)	141-159
Number of pages	19
Journal	International Journal of Phytoremediation
Volume	80
Issue number	1-2
DOIs	https://doi.org/10.1080/00036810108840986
Publication status	Published - 2001 Dec
Externally published	Yes

Keywords

35A05
35Q35
76B40
Asymptotic expansions
Modified scattering states
Nonlinear Schrödinger equations
Subcritical nonlinearities

ASJC Scopus subject areas

Environmental Chemistry
Pollution
Plant Science

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10.1080/00036810108840986

Cite this

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title = "Modified scattering states for subcritical derivative nonlinear schr{\"o}dinger equations: Modified scattering states",

abstract = "We consider thre derivative nonlinear Schr{\"o}dinger equations (Formula presented.) where the coefficient a(t) satisfies the condition (Formula presented.) is a sufficiently small constant and (Formula presented.) (Formula presented.) We suppose that the initial data satisfy the exponential decay conditions. Then in the case (Formula presented.) we show that the usual scattering states exist, and in the other case we construct the modified scattering states.",

keywords = "35A05, 35Q35, 76B40, Asymptotic expansions, Modified scattering states, Nonlinear Schr{\"o}dinger equations, Subcritical nonlinearities",

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

year = "2001",

month = dec,

doi = "10.1080/00036810108840986",

language = "English",

volume = "80",

pages = "141--159",

journal = "International Journal of Phytoremediation",

issn = "1522-6514",

publisher = "Taylor and Francis Ltd.",

number = "1-2",

}

TY - JOUR

T1 - Modified scattering states for subcritical derivative nonlinear schrödinger equations

T2 - Modified scattering states

AU - Hayashi, Nakao

AU - Naumkin, Pavel I.

AU - Yamazaki, Yasuko

PY - 2001/12

Y1 - 2001/12

N2 - We consider thre derivative nonlinear Schrödinger equations (Formula presented.) where the coefficient a(t) satisfies the condition (Formula presented.) is a sufficiently small constant and (Formula presented.) (Formula presented.) We suppose that the initial data satisfy the exponential decay conditions. Then in the case (Formula presented.) we show that the usual scattering states exist, and in the other case we construct the modified scattering states.

AB - We consider thre derivative nonlinear Schrödinger equations (Formula presented.) where the coefficient a(t) satisfies the condition (Formula presented.) is a sufficiently small constant and (Formula presented.) (Formula presented.) We suppose that the initial data satisfy the exponential decay conditions. Then in the case (Formula presented.) we show that the usual scattering states exist, and in the other case we construct the modified scattering states.

KW - 35A05

KW - 35Q35

KW - 76B40

KW - Asymptotic expansions

KW - Modified scattering states

KW - Nonlinear Schrödinger equations

KW - Subcritical nonlinearities

UR - http://www.scopus.com/inward/record.url?scp=85065355289&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85065355289&partnerID=8YFLogxK

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DO - 10.1080/00036810108840986

M3 - Article

AN - SCOPUS:85065355289

SN - 1522-6514

VL - 80

SP - 141

EP - 159

JO - International Journal of Phytoremediation

JF - International Journal of Phytoremediation

IS - 1-2

ER -

Modified scattering states for subcritical derivative nonlinear schrödinger equations: Modified scattering states

Abstract

Keywords

ASJC Scopus subject areas

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