Jiansheng Geng

A KAM Theorem for Hamiltonian Partial Differential Equations in Higher Dimensional Spaces

Jiansheng Geng, Jiangong You · Communications in Mathematical Physics · 2005 · 173 citations

Hamiltonian Theory, Higher Dimensional Spaces, Geometric Partial Differential Equation +5

An infinite dimensional KAM theorem and its application to the two dimensional cubic Schrödinger equation

Jiansheng Geng, Xindong Xu, Jiangong You · Advances in Mathematics · 2011 · 128 citations

Infinite Dimensional Analysis, Kam Theory, Integrable System +2

A KAM theorem for one dimensional Schrödinger equation with periodic boundary conditions

Jiansheng Geng, Jiangong You · Journal of Differential Equations · 2004 · 81 citations

Periodic Boundary Conditions, Elliptic Equation, Dimensional Schrödinger Equation +5

KAM tori for higher dimensional beam equations with constant potentials^*

Jiansheng Geng, Jiangong You · Nonlinearity · 2006 · 73 citations

Numerical Analysis, Spectral Theory, Engineering +11

Quasi-periodic solutions in a nonlinear Schrödinger equation

Jiansheng Geng, Yingfei Yi · Journal of Differential Equations · 2006 · 69 citations

Physics, Nonlinear Wave Propagation, Quasi-periodic Solutions +2