5 citations · 5 across the 6 of their papers we have counts for
11 papers
Chaos in PDEs and Lax Pairs of Euler Equations
Yanguang Charles Li
Recently, the author and collaborators have developed a systematic program for proving the existence of homoclinic orbits in partial differential equations. Two typical forms of ho…
Existence of Chaos in Evolution Equations
Yanguang Charles Li
For a general evolution equation with a Silnikov homoclinic orbit, Smale horseshoes are constructed.
Homoclinic Tubes in Discrete Nonlinear Schroedinger Equation Under Hamiltonian Perturbations
Yanguang Charles Li
In this paper, we study the discrete cubic nonlinear Schroedinger lattice under Hamiltonian perturbations. First we develop a complete isospectral theory relevant to the hyperbolic…
On 2D Euler Equations: III. A Line Model
Yanguang Charles Li
The spectral theorem of the linear 2D Euler operator in Sobolev spaces is presented as a corollary of the spectral theorem in space in [Li,00]. Study on the (dashed) line…
Existence of Chaos for a Singularly Perturbed NLS Equation
Yanguang Charles Li
The work [Li,99] is generalized to the singularly perturbed nonlinear Schrödinger (NLS) equation of which the regularly perturbed NLS studied in [Li,99] is a mollification. Specifi…
Singularly Perturbed Vector and Scalar Nonlinear Schroedinger Equations with Persistent Homoclinic Orbits
Yanguang Charles Li
Singularly perturbed vector nonlinear Schroedinger equations (PVNLS) are investigated. Emphasis is placed upon the relation with their restriction: The singularly perturbed scalar…