Results 121 to 130 of about 2,764,787 (227)

Numerical Identification of Stationary States and Their Stability in a Model of Quantum Droplets

Studies in Applied Mathematics, Volume 157, Issue 3, September 2026.
ABSTRACT In this work, we are motivated by a recent variant of the nonlinear Schrödinger (NLS) equation describing cold, dilute atomic condensates with quantum fluctuation effects. Our goal is to develop robust numerical methods capable of uncovering diverse stationary solutions in such NLS models.
Sun Lee, Panayotis G. Kevrekidis, Wenrui Hao   +2 more
wiley   +1 more source

Isospinning Skyrmions [PDF]

, 2014
In the Skyrme model atomic nuclei are modelled as quantized soliton solutions in a nonlinear field theory of pions. The mass number is given by the conserved topological charge B of the solitons.
Haberichter, Mareike
core  

Sharp Upper Bound for Amplitudes of Finite‐Gap Solutions of the Modified Korteweg‐de Vries Equation

Studies in Applied Mathematics, Volume 157, Issue 3, September 2026.
ABSTRACT A sharp upper bound is established for the amplitudes of finite‐gap solutions of the focusing modified Korteweg–de Vries equation. The proof shows that the optimization can be carried out entirely within the finite‐dimensional hierarchy, without explicit integration of the finite‐gap solution. The maximal amplitude is expressed in terms of the
Otis C. Wright III
wiley   +1 more source

Erratum to “On Soliton structures in optical fiber communications with Kundu–Mukherjee–Naskar model (Open Physics 2021;19:679–682)”

Open Physics
In a recent paper (Open Physics 2021;19:679–682), Khalil Salim Al-Ghafri investigated the soliton structures of the integrable Kundu–Mukherjee–Naskar (KMN) equation in optical fiber communication.
Mukherjee Abhik, Anurag
doaj   +1 more source

Soliton solutions to generalized (3 + 1)-dimensional shallow water-like equation using the (ϕ'/ϕ,1/ϕ)-expansion method

Arab Journal of Basic and Applied Sciences
The (3 + 1)-dimensional generalized shallow water equation is a significant mathematical framework for analyzing the dynamic behavior of waves in ocean physics.
Pinakee Dey, Lamiaa H. Sadek, M. M. Tharwat, Shuvo Sarker, Rezaul Karim, M. Ali Akbar, Nasser S. Elazab, M. S. Osman   +7 more
doaj   +1 more source

Insights from the nonlinear Schrödinger–Hirota equation with chromatic dispersion: Dynamics in fiber–optic communication

Nonlinear Engineering
Optical solitons have practical applications in communication systems as carriers of optical information. An advantage of an optical soliton is its ability to maintain its structure unchanged when interacting with other pulses.
Chou Dean, Rehman Hamood Ur, Asjad Muhammad Imran, Iqbal Ifrah   +3 more
doaj   +1 more source

Soliton on Thin Vortex Filament

, 1990
"Showing that one of the equations found by Wadati Konno and Ichikawa is equivalent to the equation of motion of a thin vortex filament, we investigate solitons on the vortex filament. N vortex soliton solution is given in terms of the inverse scattering
Ichikawa, Yoshi H.", "Konno, K., Mituhashi, M.   +2 more
core  

Solitons on lattices and curved space-time [PDF]

, 2001
This thesis is concerned with solitons (solutions of certain nonlinear partial differential equations) in certain cases when the underlying space is either a lattice or curved. Chapter 2 of the thesis is concerned with the outcome of collisions between a
Kotecha, Vinay, Kotecha, V.
core  

Soliton dynamics of the KdV–mKdV equation using three distinct exact methods in nonlinear phenomena

Nonlinear Engineering
The KdV–mKdV equation is investigated in this study. This equation is a useful tool to model many nonlinear phenomena in the fields of fluid dynamics, quantum mechanics, and soliton wave theory.
Ullah M. Atta, Rehan Kashif, Perveen Zahida, Sadaf Maasoomah, Akram Ghazala   +4 more
doaj   +1 more source

Optical soliton solutions of the unstable nonlinear Schrödinger equation. [PDF]

Sci Rep
Shabbir S, Saeed ST, Asghar U, Saleem S, Merga FE.   +4 more
europepmc   +1 more source