Critical exponents and solitary wave solutions for generalized quasilinear Schrodinger equations

Yinbin Deng; Shuangjie Peng; Shusen Yan

doi:10.1016/j.jde.2015.09.021

Critical exponents and solitary wave solutions for generalized quasilinear Schrodinger equations

Yinbin Deng
, Shuangjie Peng
, Shusen Yan

Mathematics

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

110 Citations (Scopus)

Abstract

This paper is concerned with the solitary wave solutions for a generalized quasilinear Schrödinger equation in RN involving critical exponents, which have appeared from plasma physics, as well as high-power ultashort laser in matter. We find the related critical exponents for a generalized quasilinear Schrödinger equation and obtain its solitary wave solutions by using a change of variables and variational argument.

Original language	English
Pages (from-to)	1228-1262
Journal	Journal of Differential Equations
Volume	260
Issue number	2
DOIs	https://doi.org/10.1016/j.jde.2015.09.021
Publication status	Published - 2016

Keywords

Partial Differential Equations

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10.1016/j.jde.2015.09.021

https://hdl.handle.net/1959.11/20211

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title = "Critical exponents and solitary wave solutions for generalized quasilinear Schrodinger equations",

abstract = "This paper is concerned with the solitary wave solutions for a generalized quasilinear Schr{\"o}dinger equation in RN involving critical exponents, which have appeared from plasma physics, as well as high-power ultashort laser in matter. We find the related critical exponents for a generalized quasilinear Schr{\"o}dinger equation and obtain its solitary wave solutions by using a change of variables and variational argument.",

keywords = "Partial Differential Equations",

author = "Yinbin Deng and Shuangjie Peng and Shusen Yan",

year = "2016",

doi = "10.1016/j.jde.2015.09.021",

language = "English",

volume = "260",

pages = "1228--1262",

journal = "Journal of Differential Equations",

issn = "0022-0396",

publisher = "Academic Press",

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TY - JOUR

T1 - Critical exponents and solitary wave solutions for generalized quasilinear Schrodinger equations

AU - Deng, Yinbin

AU - Peng, Shuangjie

AU - Yan, Shusen

PY - 2016

Y1 - 2016

N2 - This paper is concerned with the solitary wave solutions for a generalized quasilinear Schrödinger equation in RN involving critical exponents, which have appeared from plasma physics, as well as high-power ultashort laser in matter. We find the related critical exponents for a generalized quasilinear Schrödinger equation and obtain its solitary wave solutions by using a change of variables and variational argument.

AB - This paper is concerned with the solitary wave solutions for a generalized quasilinear Schrödinger equation in RN involving critical exponents, which have appeared from plasma physics, as well as high-power ultashort laser in matter. We find the related critical exponents for a generalized quasilinear Schrödinger equation and obtain its solitary wave solutions by using a change of variables and variational argument.

KW - Partial Differential Equations

U2 - 10.1016/j.jde.2015.09.021

DO - 10.1016/j.jde.2015.09.021

M3 - Article

SN - 0022-0396

VL - 260

SP - 1228

EP - 1262

JO - Journal of Differential Equations

JF - Journal of Differential Equations

IS - 2

ER -

Critical exponents and solitary wave solutions for generalized quasilinear Schrodinger equations

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