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Variational Approach to studying solitary waves in the nonlinear Schrodinger equation with Complex Potentials
Franz G. Mertens, Fred Cooper, Edward Arevalo +3
We discuss the behavior of solitary wave solutions of the nonlinear Schr{ö}dinger equation (NLSE) as they interact with complex potentials, using a four parameter variational appro…
Stability of exact solutions of the nonlinear Schroedinger equation in an external potential having supersymmetry and parity-time symmetry
Fred Cooper, Avinash Khare, Andrew Comech +3
We discuss the stability properties of the solutions of the general nonlinear Schroedinger equation (NLSE) in 1+1 dimensions in an external potential derivable from a parity-time (…
Approximate Analytic Solutions to Coupled Nonlinear Dirac Equations
Avinash Khare, Fred Cooper, Avadh Saxena
We consider the coupled nonlinear Dirac equations (NLDE's) in 1+1 dimensions with scalar-scalar self interactions $\frac{ g_1^2}{2} ( {\bpsi} ψ)^2 + \frac{ g_2^2}{2} ( {\bphi} ϕ)^2…
Novel PT-invariant Kink and Pulse Solutions For a Large Number of Real Nonlinear Equations
Avinash Khare, Avadh Saxena
For a large number of real nonlinear equations, either continuous or discrete, integrable or nonintegrable, uncoupled or coupled, we show that whenever a real nonlinear equation ad…