Nonlinear Long Standing Waves with Support Bounded by Caustics or Localized in the Vicinity of a Two-Link Trajectory

IF 1.7 3区物理与天体物理 Q2 PHYSICS, MATHEMATICAL

Russian Journal of Mathematical Physics Pub Date : 2023-12-25 DOI:10.1134/S1061920823040106

A.I. Klevin, A.V. Tsvetkova

引用次数: 0

Abstract

The paper is devoted to describing the dynamics and uprush of time-periodic long waves in basins with gentle shores. We consider waves that are defined by solutions localized between caustics in the domain bounded by the shores of the basin. We also consider solutions localized in the vicinity of a periodic trajectory which, during the period, has exactly two intersections with the boundary of such a domain.

DOI 10.1134/S1061920823040106

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非线性长驻波，其支撑点受凹陷约束或在双链轨迹附近局部化

摘要本文致力于描述具有平缓海岸的盆地中时间周期性长波的动力学和涌浪。我们考虑的波浪是由盆地岸边边界域中凹凸之间的局部解定义的。我们还考虑了周期性轨迹附近的局部解，该轨迹在周期内正好与该域的边界有两个交点。 doi 10.1134/s1061920823040106

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Russian Journal of Mathematical Physics 物理-物理：数学物理

CiteScore

3.10

自引率

14.30%

发文量

审稿时长

>12 weeks

期刊介绍： Russian Journal of Mathematical Physics is a peer-reviewed periodical that deals with the full range of topics subsumed by that discipline, which lies at the foundation of much of contemporary science. Thus, in addition to mathematical physics per se, the journal coverage includes, but is not limited to, functional analysis, linear and nonlinear partial differential equations, algebras, quantization, quantum field theory, modern differential and algebraic geometry and topology, representations of Lie groups, calculus of variations, asymptotic methods, random process theory, dynamical systems, and control theory.