Results 71 to 80 of about 274 (149)

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
wiley   +1 more source

Existence and uniqueness solution analysis of time-fractional unstable nonlinear Schrödinger equation

Results in Physics
The 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, Mohammad Asif Arefin, M. Ali Akbar, M. Hafiz Uddin   +3 more
doaj   +1 more source

Rational Solutions to the Fourth Equation of the Nonlinear Schrödinger Hierarchy

AppliedMath
This study concerns the research of rational solutions to the hierarchy of the nonlinear Schrödinger equation. In particular, we are interested in the equation of order 4. Rational solutions to the fourth equation of the NLS hierarchy are constructed and
Pierre Gaillard
doaj   +1 more source

The Cauchy problem for nonlinear Schrödinger equation (NLS) with critical nonlinearity [PDF]

, 1997
Jean Bourgain
openalex   +1 more source

Propagation of wave insights to the Chiral Schrödinger equation along with bifurcation analysis and diverse optical soliton solutions

Alexandria Engineering Journal
In this study, the modified Sardar sub-equation (MSSE) method is capitalized to secure soliton solutions to the (1+1)-dimensional chiral nonlinear Schrödinger (NLS) equation.
Badr Saad T. Alkahtani
doaj   +1 more source

Nongauge bright soliton of the nonlinear Schrödinger (NLS) equation and a family of generalized NLS equations [PDF]

, 2016
M. A. Reyes, D. Gutiérrez-Ruiz, S. C. Mancas, H. C. Rosu   +3 more
openalex   +1 more source

A $\overline{\partial }$-Dressing Method for the Kundu-Nonlinear Schrödinger Equation

Mathematics
In this paper, we employed the ∂¯-dressing method to investigate the Kundu-nonlinear Schrödinger equation based on the local 2 × 2 matrix ∂¯ problem. The Lax spectrum problem is used to derive a singular spectral problem of time and space associated with
Jiawei Hu, Ning Zhang
doaj   +1 more source

Global bounds for the cubic nonlinear Schrödinger equation (NLS) in one space dimension [PDF]

, 2015
Mihaela Ifrim, Daniel Tataru
openalex   +1 more source

An Inverse problem for a fourth order nonlinear Schrödinger equation (NLS) [PDF]

Rohit Kumar Mishra, Anamika Purohit, Suman Kumar Sahoo   +2 more
openalex   +2 more sources

Rogue Waves in the Nonlinear Schrödinger, Kadomtsev–Petviashvili, Lakshmanan–Porsezian–Daniel and Hirota Equations

Axioms
We give some of our results over the past few years about rogue waves concerning some partial differential equations, such as the focusing nonlinear Schrödinger equation (NLS), the Kadomtsev–Petviashvili equation (KPI), the Lakshmanan–Porsezian–Daniel ...
Pierre Gaillard
doaj   +1 more source