A higher-order quadratic NLS equation on the half-line. [PDF]
Himonas AA, Yan F.
europepmc +1 more source
On the analysis and deeper properties of the fractional complex physical models pertaining to nonsingular kernels. [PDF]
Fadhal E +5 more
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Almost Global Existence for Some Hamiltonian PDEs with Small Cauchy Data on General Tori. [PDF]
Bambusi D, Feola R, Montalto R.
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Local Well-Posedness of the Periodic Nonlinear Schrödinger Equation with a Quadratic Nonlinearity u ¯ 2 in Negative Sobolev Spaces. [PDF]
Liu R.
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Global well-posedness of the 2D nonlinear Schrödinger equation with multiplicative spatial white noise on the full space. [PDF]
Debussche A +3 more
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Explicit and exact travelling wave solutions for Hirota equation and computerized mechanization. [PDF]
Li B, Wang F, Nadeem S.
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Electrostatic wave interaction via asymmetric vector solitons as precursor to rogue wave formation in non-Maxwellian plasmas. [PDF]
Lazarides N +3 more
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Data-driven solutions and parameter estimations of a family of higher-order KdV equations based on physics informed neural networks. [PDF]
Chen J, Shi J, He A, Fang H.
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Global Solutions of Nonlinear Schrodinger Equations [PDF]
This volume presents recent progress in the theory of nonlinear dispersive equations, primarily the nonlinear Schrödinger (NLS) equation. The Cauchy problem for defocusing NLS with critical nonlinearity is discussed.
J. Bourgain
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The general set of nonlocal M-component nonlinear Schrödinger (nonlocal M-NLS) equations obeying the PT-symmetry and featuring focusing, defocusing, and mixed (focusing-defocusing) nonlinearities that has applications in nonlinear optics settings, is ...
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