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Long-wave KdV hierarchy approximation of the NLS hierarchy with nonzero boundary condition

发布时间:2025年12月09日 08:42 浏览量:

Scientific talk 2:Long-wave KdV hierarchy approximation of the NLS hierarchy with nonzero boundary condition

人:Robert Wegner (KIT, 卡尔斯鲁厄理工公司)

报告时间:20251218日(星期四)9:0010:00

报告地点:beat365114(小报告厅)      

校内联系人:廖娴 教授         联系方式:84708351-8510


Abstract: We consider long-wave solutions to the NLS hierarchy with nonzero boundary condition. Rewriting the conserved energies and momenta in hydrodynamic variables, we find that they are approximated by the conserved energies of the KdV hierarchy. Combining this with a similar approximation of the symplectic structures yields a formal approximation result for tthe hierarchies. We quantify this using energy estimates and previously established well-posedness results.


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