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math.DS2008★ 36 cited
Solitary waves for linearly coupled nonlinear Schrodinger equations with inhomogeneous coefficients
Juan Belmonte Beitia, Victor M. Perez Garcia, Pedro J. Torres
Motivated by the study of matter waves in Bose-Einstein condensates and coupled nonlinear optical systems, we study a system of two coupled nonlinear Schrodinger equations with inh…
nlin.PS2008★ 6 cited
Lie Symmetries, qualitative analysis and exact solutions of nonlinear Schrödinger equations with inhomogeneous nonlinearities
J. Belmonte-Beitia, V. M. Perez-Garcia, V. Vekslerchik +1
Using Lie group theory and canonical transformations, we construct explicit solutions of nonlinear Schrodinger equations with spatially inhomogeneous nonlinearities. We present the…