Results 61 to 70 of about 2,106 (198)
, 2002 This short review is an introduction to a great variety of methods, the collection of which is called the Painlev\'e analysis, intended at producing all kinds of exact (as opposed to perturbative) results on nonlinear equations, whether ordinary, partial,
Conte, Robert, Musette, Micheline
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Mathematical Methods in the Applied Sciences, Volume 48, Issue 4, Page 5039-5063, 15 March 2025.This article presents an analytical investigation performed on a generalized geophysical Korteweg–de Vries model with nonlinear power law in ocean science. To start with, achieving diverse solitary wave solutions to the generalized power‐law model involves using wave transformation, which reduces the model to a nonlinear ordinary differential equation.
Oke Davies Adeyemo
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Three-Period Orbits in Billiards on the Surfaces of Constant Curvature
, 2011 An approach due to Wojtkovski [9], based on the Jacobi fields, is applied to study sets of 3-period orbits in billiards on hyperbolic plane and on two-dimensional sphere. It is found that the set of 3-period orbits in billiards on hyperbolic plane, as in
Blumen, Victoria +3 more
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International Journal of Physical Research, 2018 The combined and double combined sinh-cosh-Gordon equations are very important to a wide range of various scientific applications that ranges from chemical reactions to water surface gravity waves. In this article, with the assistance of a function transform and Painlevè property, the nonlinear combined and double combined sinh-cosh-Gordon equations ...
Atish Kumar Joardar +2 more
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Mathematical Methods in the Applied Sciences, Volume 48, Issue 2, Page 2164-2178, 30 January 2025.In this study, we obtained optical soliton solutions of the perturbed nonlinear Schrödinger–Hirota equation with generalized anti‐cubic law nonlinearity in the presence of spatio‐temporal dispersion. This equation models the propagation of optical pulses in fiber optic cables.
Ismail Onder +3 more
wiley +1 more source
Heliyon, 2023 We have discussed the perturbed Gerdjikov-Ivanov (pGI) equation describing optical pulse propagation (PP) with perturbation effects, which has various applications in optical fibers, especially in photonic crystal fibers.
Ismail Onder +3 more
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Penerapan Algoritma Demina-kudryashov dalam Menentukan Solusi Meromorfik Persamaan Ostrovsky [PDF]
, 2016 Persamaan Ostrovsky merupakan persamaan diferensial parsial nonlinear yang dapat ditemukan dalam fenomena fisis seperti tsunami. Persamaan ini telah memiliki banyak solusi khusus analitik terutama untuk menggambarkan penjalaran gelombang soliton.
Lalus, H. F. (Herry)
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, 2018 Stability of numerous unexpected actinium hydrides was predicted via evolutionary algorithm USPEX. Electron-phonon interaction was investigated for the hydrogen-richest and most symmetric phases: R$\overline{3}$m-$AcH_{10}$, I4/mmm-$AcH_{12}$ and P ...
Kruglov, Ivan A. +3 more
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Abstract and Applied Analysis, Volume 2025, Issue 1, 2025.The Kadomtsev–Petviashvili (KP) equation and the Bogoyavlensky–Konopelchenko (BK) equation are fundamental models in the study of nonlinear wave dynamics, describing the evolution of weakly dispersive, quasi‐two‐dimensional (2D) wave phenomena in integrable systems.
Md. Abdul Aziz, Jingli Ren
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AIP Advances, 2021 This article studies the generalized (2 + 1)-dimensional shallow water equation by applying two recent analytical schemes (the extended simplest equation method and the modified Kudryashov method) for constructing abundant novel solitary wave solutions ...
Yuming Chu +2 more
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