| 何忆捷.KdV方程纯孤立子解的整体渐近性质[J].数学年刊A辑,2009,30(5):659~668 |
| KdV方程纯孤立子解的整体渐近性质 |
| Global Asymptotic Behavior of Pure Soliton Solutions of the KdV Equation |
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| DOI： |
| 中文关键词: KdV方程 反散射方法 N-孤立子解 整体渐近性 |
| 英文关键词:KdV equation, Inverse scattering method, N-soliton solution,
Global asymptotic behavior |
| 基金项目: |
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| 中文摘要: |
| 研究KdV方程纯孤立子解的整体渐近性质,证明了N-孤立子解一致收敛到N个单孤立子解的叠加.进而得到了N-孤立子解在L1-范数意义下的渐近结果,并借此阐述了纯孤立子解与一般速降解的差异. |
| 英文摘要: |
| This paper studies the global asymptotic behavior of pure soliton solutions of
the KdV equation and obtains the global uniform convergence of N-soliton solution to the
linear superposition of N single solitons. Moreover, the asymptotic behavior of N-soliton
solutions in L1-norm is also obtained, which demonstrates the difference between pure soliton
solutions and general Schwartz solutions. |
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