Results 71 to 80 of about 1,989,001 (174)
Regularity results for nonlocal fully nonlinear elliptic equations [PDF]
, 2013 Rang M. Regularity results for nonlocal fully nonlinear elliptic equations. Bielefeld: Universitätsbibliothek; 2013.In this thesis we consider nonlocal fully nonlinear elliptic operators derived from a certain class of linear integro-differential ...
Rang, Marcus
core
Journal of Ocean Engineering and Science, 2020 In this paper, the variable coefficient nonlinear Schrödinger equation with fifth order dispersion in the inhomogeneous optical fiber is investigated to study the impact of fifth order dispersion on attosecond soliton propagation.
Angelin Vithya, M.S. Mani Rajan
doaj +1 more source
Symbolic Computation of Polynomial Conserved Densities, Generalized Symmetries, and Recursion Operators for Nonlinear Differential-Difference Equations [PDF]
, 2004 Algorithms for the symbolic computation of polynomial conserved densities, fluxes, generalized symmetries, and recursion operators for systems of nonlinear differential-difference equations are presented. In the algorithms we use discrete versions of the
Jan A. S +15 more
core +1 more source
Chiral Solitons With Fractional Temporal Evolution in Quantum Hall Effect
Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.This study investigates the chiral nonlinear Schrödinger equation for current‐dependent nonlinear wave propagation in the fractional quantum Hall setting when temporal evolution is represented by the conformable fractional derivative. This derivative is defined operationally as the ordinary first time derivative multiplied by a time‐dependent power ...
Elsayed M. E. Zayed +6 more
wiley +1 more source
Journal of Function Spaces, Volume 2026, Issue 1, 2026.We investigate the Cauchy problem for the fourth‐order Schrödinger equation with quadratic nonlinearities involving second‐order derivatives: uxxu, uxxū, (ux)2, uūxx, and |ux|2, where u = u(x, t) is a complex‐valued function defined on R×R. The flow map of this Cauchy problem with the nonlinear terms uxxu or uxxū fails to be C2 differentiable at zero ...
Long Xiao, Ting Chen, Xian-Ming Gu
wiley +1 more source
Global well-posedness of 2D non-focusing Schrödinger equations via rigorous modulation approximation
, 2016 We consider the long time well-posedness of the Cauchy problem with large Sobolev data for a class of nonlinear Schrödinger equations (NLS) on R2 with power nonlinearities of arbitrary odd degree.
Totz, Nathan
core +1 more source
Partially integrable nonlinear equations with one higher symmetry [PDF]
, 2005 In this letter, we present a family of second order in time nonlinear partial differential equations, which have only one higher symmetry.
Mikhailov, AV +5 more
core +1 more source
Results in Physics, 2019 We consider coupled nonlinear Schrodinger equation (CNLSE) of the Gross-Pitaevskii-type, with linear mixing and nonlinear cross-phase modulation. Motivated by the study of matter waves in Bose-Einstein condensates and multicomponent (vectorial) nonlinear
Hamdy I. Abdel-Gawad +3 more
doaj +1 more source
Journal of Mathematics, Volume 2026, Issue 1, 2026.In this work, we study the β‐fractional multicomponent Gross–Pitaevskii (G–P) system, which plays an important role in modeling Bose–Einstein condensates (BECs) and propagation in nonlinear waves. In Bose–Einstein condensation, the G–P equation is of great importance as it describes the condensate wave function’s behavior.
Naila Nasreen +5 more
wiley +1 more source
Painlevé property of the inhomogeneous coupled nonlinear Schrödinger equations
, 1995 We propose a new type of inhomogeneous coupled nonlinear Schrödinger (NLS) equations. Then, we apply the Painlevé singularity structure analysis and find that the proposed equations admit the Painlevé property.
Shanmugha Sundaram, P., Porsezian, K.
core +1 more source