Results 21 to 30 of about 14,785 (196)

Darboux transformation for classical acoustic spectral problem [PDF]

, 2002
We study discrete isospectral symmetries for the classical acoustic spectral problem in spatial dimensions one and two, by developing a Darboux (Moutard) transformation formalism for this problem. The procedure follows the steps, similar to those for the
Rudnev, M., Yurov, A. V., Yurova, A. A.
core   +5 more sources

Solutions to the complex Korteweg-de Vries equation: Blow-up solutions and non-singular solutions [PDF]

, 2013
In the paper two kinds of solutions are derived for the complex Korteweg-de Vries equation, including blow-up solutions and non-singular solutions. We derive blow-up solutions from known 1-soliton solution and a double-pole solution.
Sun, Ying-ying, Yuan, Juan-ming, Zhang, Da-jun   +2 more
core   +1 more source

Highly Dispersive Optical Solitons in Birefringent Fibers of Complex Ginzburg–Landau Equation of Sixth Order with Kerr Law Nonlinear Refractive Index

Eng, 2023
In this paper, we derived optical soliton solutions with a highly dispersive nonlinear complex Ginzburg–Landau (CGL) equation in birefringent fibers that have Kerr law nonlinearity.
Elsayed M. E. Zayed, Khaled A. Gepreel, Mahmoud El-Horbaty, Mohamed E. M. Alngar   +3 more
doaj   +1 more source

Competent closed form soliton solutions to the Riemann wave equation and the Novikov-Veselov equation

Results in Physics, 2020
The Riemann wave equation and the Novikov-Veselov equation are interesting nonlinear equations in the sphere of tidal and tsunami waves in ocean, river, ion and magneto-sound waves in plasmas, electromagnetic waves in transmission lines, homogeneous and ...
Hemonta Kumar Barman, Aly R. Seadawy, M. Ali Akbar, Dumitru Baleanu   +3 more
doaj   +1 more source

Stable solutions to the nonlinear RLC transmission line equation and the Sinh–Poisson equation arising in mathematical physics

Open Physics, 2020
The Sinh–Poisson equation and the RLC transmission line equation are important nonlinear model equations in the field of engineering and power transmission. The modified simple equation (MSE) procedure is a realistic, competent and efficient mathematical
Abdul Kayum Md., Seadawy Aly R., Akbar Ali M., Sugati Taghreed G.   +3 more
doaj   +1 more source

New soliton solutions of nonlinear Kudryashov's equation via Improved tan -expansion approach in optical Fiber

Kuwait Journal of Science, 2022
In this article, a newly introduced model nonlinear Kudryashov's equation with anti-cubic non-linearity is considered for extraction of soliton solutions.
Saima Arshed, Nauman Raza, Asma Rashid Butt, Mustafa Inc   +3 more
doaj   +1 more source

The formation of solitary wave solutions and their propagation for Kuralay equation

Results in Physics, 2023
In this paper, the main motive is to mathematical explore the Kuralay equation, which find applications in various fields such as ferromagnetic materials, nonlinear optics, and optical fibers. The objective of this study is to investigate different types
Waqas Ali Faridi, Muhammad Abu Bakar, Zhaidary Myrzakulova, Ratbay Myrzakulov, Ali Akgül, Sayed M. El Din   +5 more
doaj   +1 more source

SINGULAR SOLITON SOLUTION IN THE CHERN–SIMONS–CP(1) MODEL [PDF]

Modern Physics Letters A, 2011
We show that the Chern–Simons–CP(1) model can support a singular soliton solution in which the magnetic field is a Dirac delta.
openaire   +3 more sources

String-String Duality in Ten Dimensions [PDF]

, 1995
The heterotic string occurs as a soliton of the type I superstring in ten dimensions, supporting the conjecture that these two theories are equivalent. The conjecture that the type IIB string is self-dual, with the strong coupling dynamics described by
Bergshoeff, C.M. Hull, Callan, Dabholkar, Dabholkar, Duff, Duff, Duff, Duff, Font, Gates, Gates, Gibbons, Gibbons, Harvey, Hassan, Hassan, Horowitz, Hull, Hull, Rey, Schwarz, Schwarz, Sen, Sen, Sen, Strominger, Townsend, Witten   +28 more
core   +2 more sources

Analytical and numerical treatments for the Kaup–Newell dynamical equation

Results in Physics, 2020
The present paper examines both analytically and numerically the Kaup–Newell equation being an important class of nonlinear Schrödinger equations with lots of applications in optical fibers.
A.A. Al Qarni, A.A. Alshaery, H.O. Bakodah, M.A. Banaja, A.S.H.F. Mohammed   +4 more
doaj   +1 more source