On The Scattering Problem for Dullin-Gottwald-Holm Equation

摘要：

In this paper studies the scattering problem for new completely integrable dispersive shallow water wave equation, be called Dullin-Gottwald-Holm(DGH) equation. Give its Lax pair, Wronskian antisymmetric bilinear form, get spectral theory of the DGH equation. Result that DGH equation has a global solution, the solitary waves of the equation are soli tons, all solitary waves of (2) are stable, the scattering data of the scattering problem for the equation can are expressed.

关键词： Dullin-Gottwald-Holm(DGH) equation bi-Hamiltonian structure the spectral theory scattering completely integrable shallow water wave equation Wronskian antisymmetric bilinear form stability

作者: Lixin Tian Guilong Gui

作者单位: Nonlinear Scientific Research Center, Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu, 21 Nonlinear Scientific Research Center, Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu, 21

会议类型: 国际会议

会议名称: Shanghai International Symposium on Nonlinear Science & Application(Shanghai NSA03)(首届上海非线性科学及其应用学术会议)

会议地点: 上海

会议语种:英文

页码: 24-46

在线出版日期: 2003-11-09（万方平台首次上网日期，不代表论文的发表时间）