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Dynamics of solitons in the fourth-order nonlocal nonlinear Schrödinger equation

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We consider the fourth-order nonlocal nonlinear Schrödinger equation and generate the Lax pair. We then employ Darboux transformation to generate dark and antidark soliton solutions. The highlight of the results… Click to show full abstract

We consider the fourth-order nonlocal nonlinear Schrödinger equation and generate the Lax pair. We then employ Darboux transformation to generate dark and antidark soliton solutions. The highlight of the results is that one ends up generating a two-soliton solution characterized by one spectral parameter alone, a property which has never been witnessed so far.

Keywords: dinger equation; nonlinear schr; nonlocal nonlinear; fourth order; order nonlocal; schr dinger

Journal Title: Nonlinear Dynamics
Year Published: 2019

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