Wave propagation through a 2D lattice

被引：11

作者：

Sreelatha, KS ^{[1
]}

Joseph, KB ^{[1
]}

机构：

[1] Cochin Univ Sci & Technol, Dept Phys, Cochin 682022, Kerala, India

来源：

CHAOS SOLITONS & FRACTALS | 2000年 / 11卷 / 05期

关键词：

Computational geometry - Integration - Nonlinear equations - Perturbation techniques - Solitons;

D O I：

10.1016/S0960-0779(98)00175-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Nonlinear wave propagation through a 2D lattice is investigated. Using reductive perturbation method, we show that this can be described by Kadomtsev-Petviashvili (KP) equation for quadratic nonlinearity and modified KP equation for cubic nonlinearity, respectively. With quadratic and cubic nonlinearities together, the system is governed by an integro-differential equation. We have also checked the integrability of these equations using singularity analysis and obtained solitary wave solutions. (C) 2000 Elsevier Science Ltd. All rights reserved.

引用

下载

页码：711 / 719

页数：9

共 50 条

[1] Macroscopic wave propagation for 2D lattice with random masses
McGinnis, Joshua A. A.
STUDIES IN APPLIED MATHEMATICS, 2023, 151 (02) : 752 - 790
[2] TE-wave propagation through 2D array of metal nanocylinders
Ivanov, A. V.
Shalygin, A. N.
Sarychev, A. K.
MAGNETISM AND MAGNETIC MATERIALS V, 2012, 190 : 577 - +
[3] 2D Finite Element Modelling of Wave Propagation Through Simplified Obstacle
Bakhai M.P.
Journal of The Institution of Engineers (India): Series C, 2023, 104 (03) : 467 - 477
[4] Modelling of seismic wave propagation in 2d
1600, Editura ASE Bucuresti
[5] Wave propagation characterization of 2D composite chiral lattice structures with circular plate inclusions
Ruan, Haifeng
Hou, Jiahong
Li, Dong
ENGINEERING STRUCTURES, 2022, 264
[6] Wave propagation for a reaction-diffusion model with a quiescent stage on a 2D spatial lattice
Zhao, Hai-Qin
Wu, Shi-Liang
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2011, 12 (02) : 1178 - 1191
[7] Propagation of evanescent wave through surface-attached nanobubbles: A 2D simulation
Song, Luming
Chan, Chon U.
Lin, Hongyi
Ohl, Claus-Dieter
Sun, Dong
APPLIED PHYSICS LETTERS, 2021, 119 (24)
[8] Multiscale Simulation of 2D Elastic Wave Propagation
Zhang, Wensheng
Zheng, Hui
PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2015 (ICNAAM-2015), 2016, 1738
[9] Numerical wave propagation in the 2D vertical plane
Matsoukis, PFC
COASTAL ENGINEERING AND MARINA DEVELOPMENTS, 1999, 3 : 305 - 314
[10] Wave propagation in 2D random granular media
Manjunath, Mohith
Awasthi, Amnaya P.
Geubelle, Philippe H.
PHYSICA D-NONLINEAR PHENOMENA, 2014, 266 : 42 - 48

← 1 2 3 4 5 →