Results 71 to 80 of about 32,605 (214)

Dispersion‐Less Dissipative Soliton Fiber Laser

Laser &Photonics Reviews, Volume 20, Issue 6, 18 March 2026.
A dispersion‐less fiber laser architecture generates high‐energy, pedestal‐free picosecond pulses without resorting to conventional pulse stretching. This energy‐managed laser achieves remarkable flexibility in pulse parameters, delivering up to 0.54 μJ$\mathrm{\mu}\mathrm{J}$ pulses with minimal spectral distortion using standard telecom components ...
Mostafa I. Mohamed, Aurélien Coillet, Philippe Grelu   +2 more
wiley   +1 more source

Analytical soliton solutions of the perturbed fractional nonlinear Schrödinger equation with space–time beta derivative by some techniques

Results in Physics, 2023
Nonlinear fractional-order evolution equations are fundamental strategies for simulating nonlinear phenomena on a large scale in technology, science, and engineering.
M. Ali Akbar, Farah Aini Abdullah, Md. Morshedul Haque   +2 more
doaj   +1 more source

Persistent bright solitons in sign-indefinite coupled nonlinear Schrödinger equations with a time-dependent harmonic trap [PDF]

Communications in nonlinear science & numerical simulation, 2015
We introduce a model based on a system of coupled nonlinear Schrodinger (NLS) equations with opposite signs infront of the kinetic and gradient terms in the two equations.
R. Radha, P. S. Vinayagam, J. B. Sudharsan, B. Malomed   +3 more
semanticscholar   +1 more source

Dispersive Wave Focusing in Shoaling Water With Currents

Journal of Geophysical Research: Oceans, Volume 131, Issue 3, March 2026.
Abstract A methodology creating dispersive focusing waves on constant depth, originally proposed by Rapp and Melville (1990), https://doi.org/10.1098/rsta.1990.0098, has provided a wide range of applications studying nonlinear waves, wave breaking, and rogue waves in the open ocean.
Y. Watanabe, T. Davey, D. M. Ingram
wiley   +1 more source

Numerical Study of a Nonlocal Nonlinear Schrödinger Equation (MMT Model)

Studies in Applied Mathematics, Volume 156, Issue 3, March 2026.
ABSTRACT In this paper, we study a nonlocal nonlinear Schrödinger equation (MMT model). We investigate the effect of the nonlocal operator appearing in the nonlinearity on the long‐term behavior of solutions, and we identify the conditions under which the solutions of the Cauchy problem associated with this equation are bounded globally in time in the ...
Amin Esfahani, Gulcin M. Muslu
wiley   +1 more source

Modeling Wave Packet Dynamics and Exploring Applications: A Comprehensive Guide to the Nonlinear Schrödinger Equation

Mathematics
The nonlinear Schrödinger (NLS) equation stands as a cornerstone model for exploring the intricate behavior of weakly nonlinear, quasi-monochromatic wave packets in dispersive media. Its reach extends across diverse physical domains, from surface gravity
Natanael Karjanto
doaj   +1 more source

Selection of the ground state for nonlinear schrödinger equations [PDF]

, 2003
We prove for a class of nonlinear Schrodinger systems (NLS) having two nonlinear bound states that the (generic) large time behavior is characterized by decay of the excited state, asymptotic approach to the nonlinear ground state and dispersive ...
A. Soffer, M. Weinstein, M. Weinstein
semanticscholar   +1 more source

Surface Wave Solutions in 1D and 2D for the Broer–Kaup–Boussinesq–Kupershmidt System

Studies in Applied Mathematics, Volume 156, Issue 1, January 2026.
ABSTRACT The Broer–Kaup–Boussinesq–Kupershmidt (BKBK) system is a singular perturbation of the classical shallow water equations which modifies their transport velocity to depend on wave elevation slope. This modification introduces backward diffusion terms proportional to a real parameter κ$\kappa$.
Darryl D. Holm, Ruiao Hu, Hanchun Wang
wiley   +1 more source

The Nonlinear Schrödinger Equation Derived From the Fifth-Order Korteweg–de Vries Equation Using Multiple Scales Method

International Journal of Differential Equations
The mathematical models of problems that arise in many branches of science are nonlinear equations of evolution (NLEE). For this reason, NLEE have served as a language in formulating many engineering and scientific problems.
Murat Koparan
doaj   +1 more source

Rogue waves and downshifting in the presence of damping [PDF]

Natural Hazards and Earth System Sciences, 2011
Recently Gramstad and Trulsen derived a new higher order nonlinear Schrödinger (HONLS) equation which is Hamiltonian (Gramstad and Trulsen, 2011). We investigate the effects of dissipation on the development of rogue waves and downshifting by adding an ...
A. Islas, C. M. Schober
doaj   +1 more source