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Quadratic nonlinear derivative Schrodinger equations. Part I
International Mathematics Research Papers, 2010openaire +1 more source
New exact solutions for higher order nonlinear Schrödinger equation in optical fibers
, 2018M. Eslami, A. Neirameh
semanticscholar +1 more source
Dynamics of superregular breathers in the quintic nonlinear Schrödinger equation
Nonlinear dynamics, 2018Lei Wang +4 more
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Remarks on quadratic nonlinear Schrödinger equations
The article treats the Cauchy problem for a nonlinear Schrödinger equation of the form \(i \partial_tu + {1 \over 2} \Delta u = F(u, \nabla u, \overline u, \nabla \overline u)\) in \(\mathbb{R} \times \mathbb{R}^n\). For the global existence of small amplitude solutions the nonlinearity is supposed to satisfy two different assumptions, introduced ...openaire +2 more sources
Integrable multidimensional versions of the nonlocal nonlinear Schrödinger equation
, 2016A. S. Fokas
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