130 citations · 137 across the 4 of their papers we have counts for
4 papers
The virial theorem and ground state energy estimate of nonlinear Schrödinger equations in with square root and saturable nonlinearities in nonlinear optics
Tai-Chia Lin, Milivoj R. Belic, Milan S. Petrovic +2
The virial theorem is a nice property for the linear Schrodinger equation in atomic and molecular physics as it gives an elegant ratio between the kinetic and potential energies an…
Transport of Charged Particles: Entropy Production and Maximum Dissipation Principle
Chia-Yu Hsieh, YunKyong Hyon, Hijin Lee +2
In order to describe the dynamics of crowded ions (charged particles), we use an energetic variation approach to derive a modified Poisson-Nernst-Planck (PNP) system which includes…
Undular bore theory for the Gardner equation
A. M. Kamchatnov, Y. -H. Kuo, T. -C. Lin +5
We develop modulation theory for undular bores (dispersive shock waves) in the framework of the Gardner, or extended Korteweg--de Vries, equation, which is a generic mathematical m…
Orbital stability of bound states of nonlinear Schrodinger equations with linear and nonlinear optical lattices
Tai-Chia Lin, Juncheng Wei, Wei Yao
We study the orbital stability and instability of single-spike bound states of semiclassical nonlinear Schrodinger (NLS) equations with critical exponent, linear and nonlinear opti…