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Exact trapped -soliton solutions of the nonlinear Schrödinger equation using the inverse problem method
Fred Cooper, Avinash Khare, John F. Dawson +2
In this work, we show the application of the ``inverse problem'' method to construct exact trapped soliton-like solutions of the nonlinear Schrödinger or Gross-Pitaevskii equat…
New Solutions of Coupled Nonlocal NLS and Coupled Nonlocal mKdV Equations
Avinash Khare, Avadh Saxena
We provide several novel solutions of the coupled Ablowitz-Musslimani (AM) version of the nonlocal nonlinear Schrödinger (NLS) equation and the coupled nonlocal modified Korteweg-d…
A Class of Exactly Solvable Real and Complex Symmetric Reflectionless Potentials
Suman Banerjee, Rajesh Kumar Yadav, Avinash Khare +1
We consider the question of the number of exactly solvable complex but PT-invariant reflectionless potentials with bound states. By carefully considering the rationally e…
New Solutions of Nonlocal NLS, mKdV and Hirota Equations
Avinash Khare, Avadh Saxena
In this paper, we provide several novel solutions of the Ablowitz-Musslimani as well Yang's versions of the nonlocal nonlinear Schrödinger (NLS) equation, nonlocal modified Kortewe…
Rationally Extended Harmonic Oscillator potential, Isospectral Family and the Uncertainity Relations
Rajesh Kumar, Rajesh Kumar Yadav, Avinash Khare
We consider the rationally extended harmonic oscillator potential which is isospectral to the conventional one and whose solutions are associated with the exceptional, - Hermi…
Higher order complex cubic quintic Ginzburg Landau equation : Chirped solitary waves
Naresh Saha, Baranana Roy, Avinash Khare
Propagation characteristics of the chirped dissipative solitary waves are investigated within the framework of higher order complex cubic quintic Ginzburg Landau equation. Potentia…