Results 31 to 40 of about 359,520 (242)

Inverse scattering method and vector higher order nonlinear Schrodinger equation

, 1999
A generalised inverse scattering method has been developed for arbitrary n dimensional Lax equations. Subsequently, the method has been used to obtain N soliton solutions of a vector higher order nonlinear Schrodinger equation, proposed by us.
Bonora, Bonora, Di Francesco, Dodd, Gedalin, Gelfand, Ghosh, Gordon, Hasewaga, Hietarinta, Hietarinta, Hirota, Hirota, Johnson, Kaup, Kodama, Kruskal, Kundu, Lakshmanan, Manakov, Marchenko, Marshakov, Miura, Mollenauer, Porsezian, Sasa, Sasanka Ghosh, Scott, Sudipta Nandy, Whitham, Yajima, Zakharov   +31 more
core   +1 more source

Periodic Solutions of Nonlinear Equations Obtained by Linear Superposition [PDF]

, 2002
We show that a type of linear superposition principle works for several nonlinear differential equations. Using this approach, we find periodic solutions of the Kadomtsev-Petviashvili (KP) equation, the nonlinear Schrodinger (NLS) equation, the $\lambda \
Ablowitz M, Abramowitz M, Aitchison J S, Avinash Khare, Cayley A, Drazin P, Fred Cooper, Gradshteyn I S, Hirota R, Khare A, Khare A, Newell A, Rajaraman R, Reinhardt W, Uday Sukhatme, Wang M L   +15 more
core   +2 more sources

Integration of the Loaded Negative Order Nonlinear Schrodinger Equation in the Class of Periodic Functions

Известия Иркутского государственного университета: Серия "Математика"
In this paper, we consider the loaded negative order nonlinear Schrodinger equation (NSE) in the class of periodic functions. It is shown that the loaded negative order nonlinear Schrodinger equation can be integrated by the inverse spectral problem ...
M. M. Khasanov, I. D. Rakhimov, D. B. Azimov   +2 more
doaj   +1 more source

On some nonlinear Schrödinger equations in $\bbr^N$ [PDF]

arXiv, 2021
In this paper, we introduce some new ideas to study Schrodinger equations in RN with power-type nonlinearities.
arxiv  

Similarity transformations for Nonlinear Schrodinger Equations with time varying coefficients: Exact results

, 2005
In this paper we use a similarity transformation connecting some families of Nonlinear Schrodinger equations with time-varying coefficients with the autonomous cubic nonlinear Schrodinger equation.
Abdullaev, Abdullaev, Berge, Centurion, Chen, Dodd, Frommlet, Hasegawa, Kivshar, Konotop, Krasnosel’skii, Liang, Magnus, Matuszewski, Matuszewski, Montesinos, Niederer, Obersnel, Pedro J. Torres, Rodas-Verde, Rybin, Saito, Serkin, Sulem, Theocharis, Turitsyn, Vladimir V. Konotop, Víctor M. Pérez-García, Zakharov   +28 more
core   +1 more source

Singular standing-ring solutions of nonlinear partial differential equations

, 2009
We present a general framework for constructing singular solutions of nonlinear evolution equations that become singular on a d-dimensional sphere, where d>1. The asymptotic profile and blowup rate of these solutions are the same as those of solutions of
Bricmont, Budd, Budd, Ditkowsky, Fibich, Fibich, Fibich, Gadi Fibich, Galaktionov, Galaktionoy, Gavish, Giga, Giga, Grow, Guy Baruch, Herrero, Herrero, Herrero, Ilan, Matos, Merle, Merle, Nir Gavish, Raphael, Raphael, Ren, Sulem, Velaquez, Zaag, Zaag, Zaag   +30 more
core   +1 more source

Assorted soliton structures of solutions for fractional nonlinear Schrodinger types evolution equations

Journal of Ocean Engineering and Science, 2022
Fractional order nonlinear evolution equations have emerged in recent times as being very important model for depicting the interior behavior of nonlinear phenomena that exist in the real world.
Md. Tarikul Islam, Md. Ali Akbar, J.F. Gómez-Aguilar, E. Bonyah, G. Fernandez-Anaya   +4 more
doaj  

New types of soliton solutions for space-time fractional cubic nonlinear Schrodinger equation

Boletim da Sociedade Paranaense de Matemática, 2020
New definitions for traveling wave transformation and using of new conformable fractional derivative for converting fractional nonlinear evolution equations into the ordinary differential equations are presented in this study.
Ahmad Neirameh, Mostafa Eslami, Mostafa Mehdipoor   +2 more
doaj   +1 more source

Ultra-short optical pulses having initial chirp

Journal of Telecommunications and Information Technology, 2000
Arbitrary shape optical pulses in nonlinear guides are discussed. The Nonlinear Schrodinger Equation for complex initial conditions is solved numerically using Split-Step Fourier Method and some selected results for solitons are presented.
Tomasz Kaczmarek
doaj   +1 more source

The convergence and stability of explicit difference schemes for nonlinear schrodinger equation

Mathematical Modelling and Analysis, 1997
„The convergence and stability of explicit difference schemes for nonlinear schrodinger equation" Mathematical Modelling Analysis, 2(1), p.
F. Ivanauskas, M. Radžiūnas
doaj   +1 more source