SOME MODELS FOR THE INTERACTION OF LONG AND SHORT WAVES IN DISPERSIVE MEDIA. PART II: WELL-POSEDNESS

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成果类型：

期刊论文

作者：

Liu, C. H. U. A. N. G. Y. E.;Nguyen, N. G. H. I. E. M., V

通讯作者：

Liu, C.

作者机构：

[Liu, C. H. U. A. N. G. Y. E.] Cent China Normal Univ, Sch Math & Stat, POB 71010, Wuhan 430079, Peoples R China.

[Liu, C. H. U. A. N. G. Y. E.] Cent China Normal Univ, Hubei Key Lab Math Sci, POB 71010, Wuhan 430079, Peoples R China.

[Nguyen, N. G. H. I. E. M., V] Utah State Univ, Dept Math & Stat, Logan, UT 84322 USA.

通讯机构：

[Liu, C.] S

School of Mathematics and Statistics and Hubei Key Laboratory of Mathematical Sciences, P.O. Box 71010, China

语种：

英文

关键词：

abcd-system;BBMequation;Euler equations;KdV-equation;linear Schrödinger equation;NLS-equation;NLS-KdV system

期刊：

COMMUNICATIONS IN MATHEMATICAL SCIENCES

ISSN：

1539-6746

年：

2023

卷：

期：

页码：

641-669

DOI：

10.4310/CMS.2023.v21.n3.a3

基金类别：

Acknowledgement. The first author is supported by NSFC-11971191 and 12171185 and gratefully acknowledges financial support from the China Scholarship Council.

机构署名：

本校为第一机构

院系归属：

数学与统计学学院

摘要：

The (in)validity of a system coupling the cubic, nonlinear Schrödinger equation (NLS) and the Korteweg-de Vries equation (KdV) commonly known as the NLS-KdV system for studying the interaction of long and short waves in dispersive media was discussed in part I of this work [N.V. Nguyen and C. Liu, Water Waves, 2:327–359, 2020]. It was shown that the NLS-KdV system can never be obtained from the full Euler equations formulated in the study of water waves, nor even the linear Schrödinger-Korteweg de Vries system where the two equations in the ...

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SOME MODELS FOR THE INTERACTION OF LONG AND SHORT WAVES IN DISPERSIVE MEDIA. PART II: WELL-POSEDNESS

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