Models of few optical cycle solitons beyond the slowly varying envelope approximation

H Leblond, D Mihalache - Physics Reports, 2013 - Elsevier
In the past years there was a huge interest in experimental and theoretical studies in the
area of few-optical-cycle pulses and in the broader fast growing field of the so-called …

[HTML][HTML] Some novel analytical solutions of a new extented (2+ 1)-dimensional Boussinesq equation using a novel method

S Khaliq, A Ullah, S Ahmad, A Akgül, A Yusuf… - Journal of Ocean …, 2022 - Elsevier
There are many analytical methods for solving partial differential equations (PDEs), such as
the (G′ G)-expansion, the Ricatti transformation method, and many more. In this …

[HTML][HTML] An exhaustive theoretical analysis of thermal effect inside bubbles for weakly nonlinear pressure waves in bubbly liquids

T Kamei, T Kanagawa, T Ayukai - Physics of Fluids, 2021 - pubs.aip.org
Weakly nonlinear propagation of pressure waves in initially quiescent compressible liquids
uniformly containing many spherical microbubbles is theoretically studied based on the …

Higher-order split-step Fourier schemes for the generalized nonlinear Schrödinger equation

GM Muslu, HA Erbay - Mathematics and Computers in Simulation, 2005 - Elsevier
The generalized nonlinear Schrödinger (GNLS) equation is solved numerically by a split-
step Fourier method. The first, second and fourth-order versions of the method are …

[HTML][HTML] A novel analytical method for solving (2+ 1)-dimensional extended Calogero-Bogoyavlenskii-Schiff equation in plasma physics

A Tripathy, S Sahoo - Journal of Ocean Engineering and Science, 2021 - Elsevier
In this paper, the new travelling wave solutions of the (2+ 1)-dimensional extended Calogero-
Bogoyavlenskii-Schiff (ECBS) equation are investigated. The main aim of this work is to find …

The tanh and the sine-cosine methods for the complex modified K dV and the generalized K dV equations

AM Wazwaz - Computers & Mathematics with Applications, 2005 - Elsevier
The complex modified K dV (CMK dV) equation and the generalized K dV equation are
investigated by using the tanh method and the sine-cosine method. A variety of exact …

Endlessly mono-radial annular core photonic crystal fiber for the broadband transmission and supercontinuum generation of vortex beams

M Sharma, P Pradhan, B Ung - Scientific reports, 2019 - nature.com
We demonstrate a new guiding regime termed endlessly mono-radial, in the proposed
annular core photonic crystal fiber (AC-PCF), whereby only modes of the fundamental radial …

Weakly nonlinear theory on pressure waves in bubbly liquids with a weak polydispersity

T Kanagawa, T Ayukai, T Kawame… - International Journal of …, 2021 - Elsevier
Weakly nonlinear propagation of plane progressive pressure waves in an initially quiescent
liquid uniformly containing many spherical microbubbles is theoretically investigated …

A reliable split-step Fourier method for the propagation equation of ultra-fast pulses in single-mode optical fibers

R Deiterding, R Glowinski, H Oliver… - Journal of Lightwave …, 2013 - ieeexplore.ieee.org
The extension to the split-step Fourier method (SSFM) for Schrödinger-type pulse
propagation equations that we propose in this article is designed with the accurate …

Theoretical study of coherent supercontinuum generation in chalcohalide glass photonic crystal fiber

A Medjouri, D Abed - Optik, 2020 - Elsevier
Mid-infrared supercontinuum (SC) generation in normally dispersive photonic crystal fiber
(PCF) made of GeS 2-Ga 2 S 3-CsI chalcohalide glass, is theoretically investigated. The …