Course No.：S070104ZJ004
Course Category：Professional Basic Course
Period/Credits：40/2
Prerequisites：Real analysis and complex analysis, linear algebra.
Aims & Requirements：
This course will provide an introduction about integrable properties of nonlinear wave equation.
Primary Coverage：
Soliton wave and examples, Lax pair, Inverse Scattering Transformation, Backlund transformation, Liouville integrable systems, Lie-Group transformation of nonlinear PDEs and algebraic geometry method.
Textbook：
Introduction to nonlinear partial differential equations, Yucui Guo，Tsinghua University Press, 2008.
References：
[1] Solitons，Nonlinear Evolution equations and Inverse Scattering, M.J.Ablowitz, P.A.Clarkson, Cambridge university press.
[2] Solitons and Integrable System, Yishen Li, Shanghai Science and Technology Education Press.
[3] Soliton theory and its application, Chaohao Gu, Boling Guo and YishenLi, etc.,Zhejiang Science and Technology Press, 1990.
Author：Junxiao Zhao (School of Mathematical Sciences, GUCAS)
Date：June, 2009
