| 广义KdV方程孤子解的存在参数区 |
| |
| 引用本文： | 盛平兴. 广义KdV方程孤子解的存在参数区[J]. 高校应用数学学报(英文版), 2003, 18(2): 173-178. DOI: 10.1007/s11766-003-0021-6 |
| |
| 作者姓名： | 盛平兴 |
| |
| 作者单位： | Sheng PingxingDept. of Math.，College of Natural Science，Shanghai Univ.，Shanghai 200436，China. |
| |
| 基金项目： | Research partially supported by Shanghai Development Grant of Education Committee(# 2 0 0 0 A1 0 ) |
| |
| 摘 要： | § 1 IntroductionThe classic Kd V equation has the formut=32gh uux +32 αux +13σuxxx . (1 )Where g,h,α,andσ are physical parameters.After some transformations,various ver-sions of the modified Kd V equation may appear.The Kd V equation is a classic soliton e-quation and is well discussed.Different methods have been created to find the precise orapproximate solitons or solitary waves.The following Kd V equation is the mostcommonone:ut-6 uux +uxxx =0 . (2 )Considering traveling waves an…
|
| 收稿时间： | 2002-03-27 |
Parameter region for existence of solitons in generalized KdV equation |
| |
| Sheng Pingxing. Parameter region for existence of solitons in generalized KdV equation[J]. Applied Mathematics A Journal of Chinese Universities, 2003, 18(2): 173-178. DOI: 10.1007/s11766-003-0021-6 |
| |
| Authors: | Sheng Pingxing |
| |
| Affiliation: | (1) Dept. of Math., College of Natural Science, Shanghai Univ., 200436 Shanghai, China |
| |
| Abstract: | This paper considers the generalized KdV equation with or without natural boundary conditions and provides a parameter region for solitons and solitary waves, and also modifies a result of Zabusky’s. The solitary bifurcation has been discussed. Research partially supported by Shanghai Development Grant of Education Committee (# 2000A10). |
| |
| Keywords: | generalized KdV equation traveling waves soliton homoclinic (heteroclinic) orbit bifurcation. |
| 本文献已被 CNKI 万方数据 SpringerLink 等数据库收录！ |
