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Remarks on quadratic nonlinear Schrodinger equations

Remarks on quadratic nonlinear Schrodinger equations
We consider the global Cauchy problem for the nonlinear Schrodinger equations with quadratic nonlinearities. Concerning a class of nonlinearities which ensures the global existence of solutions, we prove that Klainerman's condition and Hayashi's condition are equivalent. An explicit solution to Strauss' equation is also given.
openaire  

Existence results for nonlinear Schrodinger equations involving the fractional (p,q)-Laplacian and critical nonlinearities

, 2021
Huilin Lv, Shenzhou Zheng, Zhaosheng Feng   +2 more
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Multiple lump and rogue wave for time fractional resonant nonlinear Schrödinger equation under parabolic law with weak nonlocal nonlinearity. [PDF]

Opt Quantum Electron, 2022
Rizvi STR, Seadawy AR, Ali K, Younis M, Ashraf MA.   +4 more
europepmc   +1 more source

THE BIFURCATION ANALYSIS OF THE SCHRODINGER EQUATION WITH POWER LAW NONLINEARITY Vol. 5(2) July 2017, No. 25, pp. 260-265 M. AKBARI [PDF]

, 2017
M. Akbari, A Wazwaz, A Wazwaz, A Biswas, A Biswas, N Taghizadeh, M Mirzazadeh, A Samiei, W Ma, M Chen   +9 more
openalex   +1 more source

Numerical inverse scattering transform for the derivative nonlinear Schrodinger equation [PDF]

, 2023
Shikun Cui, Zhen Wang
openalex   +1 more source

Improved almost Morawetz estimates for the cubic nonlinear Schrodinger equation [PDF]

, 2009
Benjamin Dodson
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Large deviations and support results for nonlinear Schrodinger equations with additive noise and applications

, 2004
Éric Gautier
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On the Unique Continuation Property for a Coupled System of Third-order Nonlinear Schrodinger Equations

, 2023
Yue Zhou, Jie Yang
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Solutions to Sobolev Supercritical Nonlinear Schrodinger Equations on an Annulus via a Hopf Reduction Method [PDF]

Jian Liang, Huayang Wang
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Dynamics of the black soliton in a regularized nonlinear Schrodinger equation [PDF]

, 2023
Dmitry E. Pelinovsky, Michael Plum
openalex   +1 more source