*主持人：陈勇 教授

*讲座内容简介：
We consider the periodic standing waves in the derivative nonlinear Schrodinger (DNLS) equation arising in plasma physics. By using the nonlinearization of Lax pair with two eigenvalues, we classify all periodic standing waves in terms of eight eigenvalues of the Kaup--Newell spectral problem located at the end points of the spectral bands outside the real line. The analytical work is complemented with the numerical approximation of the spectral bands, this enables us to fully characterize the modulational instability of the periodic standing waves in the DNLS equation.

*主讲人简介：
陈金兵博士，东南大学数学学院副教授、博导。研究方向：孤立子与可积系统，曾先后访问洛桑联邦理工学院，德州大学大河谷分校，和麦克马斯特大学数学系。长期从事可积非线性偏微分方程的有限带积分、谱稳定性、轨道稳定性、非线性海洋波理论及相关领域的研究，在该领域以第一或通讯作者已发表40余篇SCI学术论文，如：Stud. Appl. Math., Rev. Math. Phys., Physica D, J. Nonlinear Sci., Phys. Rev. E, Nonlinearity, J. Math. Phys.等国内外重要数学期刊，并主持三项国家自然科学基金。