PEAKONS, SOLITARY PATTERNS AND PERIODIC SOLUTIONS FOR GENERALIZED GILSON-PICKERING EQUATIONS

Chunhai Li (P. R. China), Shengqiang Tang (P. R. China), Wentao Huang (P. R. China) and Aiyong Chen (P. R. China)

Received January 6, 2009

Abstract

This paper deals with a generalized Gilson-Pickering equation by making use of a mathematical technique based on using integral factors for solving differential equations. The peakons, solitary patterns and periodic solutions are expressed analytically under various circumstances. The conditions that cause the qualitative change in the physical structures of the solutions are highlighted.

Keywords and phrases: Gilson-Pickering equation, peakons, solitary patterns, periodic solutions.