Bifurcation, Bi-instability and Area Principle for the Solitary Waves of the Nonlinear Wave Equation with Quartic Polynomial Potential

• 来源期刊: 中国物理快报（英文版）
• 学科: 物理学
• 年，卷（期）: 2002,（7）
• 页码范围: 885-888
• 页数: 4页
• 分类号: O4
• 语种: 英文

摘要

For the nonlinear wave equation with quartic polynomial potential, bifurcation, bi-instability and solitary wavesare investigated. An area principle based on the bifurcation diagram is found for the existence of bright anddark solitary waves and shock waves. The simple forms of solitary wave solutions are given by an approximateanalytic method.