Results 91 to 100 of about 34,063 (197)
Studies in Applied Mathematics, Volume 155, Issue 1, July 2025.ABSTRACT This work aims to study some dynamical aspects of the nonlinear logarithmic Schrödinger equation (NLS‐log) on a tadpole graph, namely, a graph consisting of a circle with a half‐line attached at a single vertex. By considering Neumann–Kirchhoff boundary conditions at the junction, we show the existence and the orbital stability of standing ...
Jaime Angulo Pava +1 more
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Propagation of weakly nonlinear axial waves of nanorods embedded in a viscoelastic medium
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 105, Issue 6, June 2025.Abstract Nonlinear equations play a fundamental role in explaining complex systems in science and technology, particularly in the field of wave propagation. Nonlocal elasticity theory is a general method for analyzing nanostructures at the nanoscale. The current work utilizes Eringen's nonlocal constitutive equations to solve the nonlinear equations of
Guler Gaygusuzoglu +2 more
wiley +1 more source
MathematicsThis work is concerned with the study of explicit solutions for a generalized coupled nonlinear Schrödinger equations (NLS) system with variable coefficients.
José M. Escorcia, Erwin Suazo
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Mathematical Methods in the Applied Sciences, Volume 48, Issue 8, Page 9225-9240, 30 May 2025.ABSTRACT In this paper, we consider the energy critical nonlinear Schrödinger equation with a repulsive inverse square potential. In particular, we deal with radial initial data, whose energy is equal to the energy of static solution to the corresponding nonlinear Schrödinger equation without a potential.
Masaru Hamano, Masahiro Ikeda
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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
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Symmetry, 2016 In this work, after reviewing two different ways to solve Riccati systems, we are able to present an extensive list of families of integrable nonlinear Schrodinger (NLS) equations with variable coefficients.
Gabriel Amador +5 more
semanticscholar +1 more source
The conservative Camassa–Holm flow with step‐like irregular initial data
Proceedings of the London Mathematical Society, Volume 130, Issue 5, May 2025.Abstract We extend the inverse spectral transform for the conservative Camassa–Holm flow on the line to a class of initial data that requires strong decay at one endpoint but only mild boundedness‐type conditions at the other endpoint. The latter condition appears to be close to optimal in a certain sense for the well‐posedness of the conservative ...
Jonathan Eckhardt, Aleksey Kostenko
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Soliton dynamics for fractional Schrodinger equations
, 2013 We investigate the soliton dynamics for the fractional nonlinear Schrodinger equation by a suitable modulational inequality. In the semiclassical limit, the solution concentrates along a trajectory determined by a Newtonian equation depending of the ...
Secchi, Simone, Squassina, Marco
core
On the wave turbulence theory of 2D gravity waves, I: Deterministic energy estimates
Communications on Pure and Applied Mathematics, Volume 78, Issue 2, Page 211-322, February 2025.Abstract Our goal in this paper is to initiate the rigorous investigation of wave turbulence and derivation of wave kinetic equations (WKEs) for water waves models. This problem has received intense attention in recent years in the context of semilinear models, such as Schrödinger equations or multidimensional KdV‐type equations. However, our situation
Yu Deng +2 more
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Results in PhysicsThe time-fractional unstable nonlinear Schrödinger (NLS) equations capture the time evolution of disturbances within media, tailored for describing phenomena in unstable media to help model and understand the intricate dynamics of systems prone to ...
M. Ayesha Khatun +3 more
doaj +1 more source