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Exceptional orthogonal polynomials, QHJ formalism and SWKB quantization condition
S. Sree Ranjani, P. K. Panigrahi, A. Khare +2
We study the quantum Hamilton-Jacobi (QHJ) equation of the recently obtained exactly solvable models, related to the newly discovered exceptional polynomials and show that the QHJ…
Staggered and short period solutions of the Saturable Discrete Nonlinear Schrödinger Equation
Avinash Khare, Kim Ø. Rasmussen, Mogens R. Samuelsen +1
We point out that the nonlinear Schr{ö}dinger lattice with a saturable nonlinearity also admits staggered periodic as well as localized pulse-like solutions. Further, the same mode…
Exact Solutions of the Two-Dimensional Discrete Nonlinear Schrödinger Equation with Saturable Nonlinearity
Avinash Khare, Kim Ø. Rasmussen, Mogens R. Samuelsen +1
We show that the two-dimensional, nonlinear Schrödinger lattice with a saturable nonlinearity admits periodic and pulse-like exact solutions. We establish the general formalism for…
Solitary wave in the Nonlinear Dirac Equation with arbitrary nonlinearity
Fred Cooper, Avinash Khare, Bogdan Mihaila +1
We consider the nonlinear Dirac equations (NLDE's) in 1+1 dimension with scalar-scalar self interaction , as well as a vector-vector self intera…