Conservation Laws and Analytic Soliton Solutions for Coupled Integrable Dispersionless Equations with Symbolic Computation

• 来源期刊: 理论物理通讯(英文版)
• 学科: 物理学
• 关键词: 守恒定律 符号计算 孤子解 耦合 散射 公式 解析 双线性形式
• 年，卷（期）: 2010,（10）
• 页码范围: 687-696
• 页数: 10页
• 分类号: O412.1 O175.29
• 语种: 英文

摘要

Under investigation in this paper are two coupled integrable dispersionless (CID) equations modelingthe dynamics of the current-fed string within an external magnetic field.Through a set of the dependent variabletransformations, the bilinear forms for the CID equations are derived.Based on the Hirota method and symboliccomputation, the analytic N-soliton solutions are presented.Infinitely many conservation laws for the CID equationsare given through the known spectral problem.Propagation characteristics and interaction behaviors of the solitons areanalyzed graphically.