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math.AP2016★ 1 cited
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…
math.AP2010★ 2 cited
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…