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New QES Hermitian as well as non-Hermitian PT invariant Potentials
Avinash Khare, Bhabani Prasad Mandal
We start with quasi-exactly solvable (QES) Hermitian (and hence real) as well as complex PT-invariant, double sinh-Gordon potential and show that even after adding perturbation ter…
Solutions of Several Coupled Discrete Models in terms of Lame Polynomials of Arbitrary Order
Avinash Khare, Avadh Saxena, Apoorva Khare
Coupled discrete models abound in several areas of physics. Here we provide an extensive set of exact quasiperiodic solutions of a number of coupled discrete models in terms of Lam…
Forced Nonlinear Schroedinger Equation with Arbitrary Nonlinearity
Fred Cooper, Avinash Khare, Niurka R. Quintero +2
We consider the nonlinear Schr{ö}dinger equation (NLSE) in 1+1 dimension with scalar-scalar self interaction in the presence of the external for…
Solutions of Several Coupled Discrete Models in terms of Lame Polynomials of Order One and Two
Avinash Khare, Avadh Saxena
Coupled discrete models abound in several areas of physics. Here we provide an extensive set of exact quasiperiodic solutions of a number of coupled discrete models in terms of Lam…
Mapping Between Generalized Nonlinear Schroedinger Equations and Neutral Scalar Field Theories and New Solutions of the Cubic-Quintic NLS Equation
Avinash Khare, Avadh Saxena, Kody J. H. Law
We highlight an interesting mapping between the moving breather solutions of the generalized Nonlinear Schrodinger (NLS) equations and the static solutions of neutral scalar field…