Compactons in a class of doubly sublinear Gardner equations

IF 2.1 3区物理与天体物理 Q2 ACOUSTICS

Wave Motion Pub Date : 2024-10-22 DOI:10.1016/j.wavemoti.2024.103427

Philip Rosenau , Alexander Oron

引用次数: 0

Abstract

We introduce and study a class of doubly sublinear Gardner equations

u_{t} + F {(u; n)}_{x} + u_{3 x} = 0

where

F (u; n) = u^{1 + n} - κ_{1 + 2 n} u^{1 + 2 n}

, which for

0 < n

induce solitons and in the doubly sublinear cases wherein

- 1 / 2 < n < 0

, bi-directional compactons propagating in either direction. Their emergence, evolution, chase and head-on interactions are studied.

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一类双次线性加德纳方程中的紧凑子

我们引入并研究了一类双亚线性加德纳方程ut+F(u;n)x+u3x=0，其中F(u;n)=u1+n-κ1+2nu1+2n，这些方程在0<n时会诱发孤子，在-1/2<n<0的双亚线性情况下，会诱发向任一方向传播的双向紧凑子。对它们的出现、演变、追逐和迎面相互作用进行了研究。

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

Wave Motion 物理-力学

CiteScore

4.10

自引率

8.30%

发文量

118

审稿时长

3 months

期刊介绍： Wave Motion is devoted to the cross fertilization of ideas, and to stimulating interaction between workers in various research areas in which wave propagation phenomena play a dominant role. The description and analysis of wave propagation phenomena provides a unifying thread connecting diverse areas of engineering and the physical sciences such as acoustics, optics, geophysics, seismology, electromagnetic theory, solid and fluid mechanics. The journal publishes papers on analytical, numerical and experimental methods. Papers that address fundamentally new topics in wave phenomena or develop wave propagation methods for solving direct and inverse problems are of interest to the journal.