Wave propagation through a 2D lattice

✍ Scribed by K.S. Sreelatha; K.Babu Joseph

• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 494 KB
• Volume: 11
• Category: Article
• ISSN: 0960-0779
• DOI: 10.1016/s0960-0779(98)00175-1

✦ Synopsis

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 modi®ed KP equation for cubic nonlinearity, respectively. With quadratic and cubic nonlinearities together, the system is governed by an integro-dierential equation. We have also checked the integrability of these equations using singularity analysis and obtained solitary wave solutions.