Results 21 to 30 of about 25,526 (214)

Constructing new solitary wave solutions to the strain wave model in micro-structured solids

Alexandria Engineering Journal, 2022
In the present article, the improved modified extended tanh function method is implemented to investigate the strain wave model which governs the wave propagation in micro-structured solids.
Taher A. Nofal, Islam Samir, Niveen Badra, Adel Darwish, Hamdy M. Ahmed, Ahmed H. Arnous   +5 more
doaj   +1 more source

Constructions of the soliton solutions to coupled nonlinear Schrödinger equation with advanced mathematical techniques

AIP Advances, 2023
In our research paper, we explore the application of mathematical techniques, both analytical and numerical, to solve the coupled nonlinear Schrödinger equation.
Taghread Ghannam Alharbi, Abdulghani Alharbi   +1 more
doaj   +1 more source

A Study of Traveling Wave Structures and Numerical Investigations into the Coupled Nonlinear Schrödinger Equation Using Advanced Mathematical Techniques

Mathematics, 2023
This article explores adapted mathematical methods to solve the coupled nonlinear Schrödinger (C-NLS) equation through analytical and numerical methods.
Taghread Ghannam Alharbi, Abdulghani Alharbi   +1 more
doaj   +1 more source

An Improved Modified Extended tanh-Function Method

Zeitschrift für Naturforschung A, 2006
In this paper we further improve the modified extended tanh-function method to obtain new exact solutions for nonlinear partial differential equations. Numerical applications of the proposed method are verified by solving the improved Boussinesq equation and the system of variant Boussinesq equations. The new exact solutions for these equations include
Zonghang Yang, Benny Y. C. Hon
openaire   +1 more source

Solitary and blow-up electrostatic excitations in rotating magnetized electron-positron-ion plasmas [PDF]

, 2009
The nonlinear dynamics of a rotating magnetoplasma consisting of electrons, positrons and stationary positive ions is considered. The basic set of hydrodynamic and Poisson equations are reduced to a Zakharov-Kuznetsov (ZK) equation for the electric ...
Abdelsalam, U.M., Kourakis, I., Moslem, W.M., Sabry, R., Shukla, P.K.   +4 more
core   +1 more source

Construction of new solitons and other wave solutions for a concatenation model using modified extended tanh-function method

Alexandria Engineering Journal, 2023
In this work, we consider a concatenation model that is a concatenated version of the familiar nonlinear Schrödinger’s equation, Lakshmanan–Porsezian–Daniel equation and the Sasa–Satsuma equation.
Wafaa B. Rabie, Hamdy M. Ahmed, Adel Darwish, Hisham H. Hussein   +3 more
doaj   +1 more source

Seven common errors in finding exact solutions of nonlinear differential equations [PDF]

, 2009
We analyze the common errors of the recent papers in which the solitary wave solutions of nonlinear differential equations are presented. Seven common errors are formulated and classified.
Abdou, Abdou, Abdou, Ablowitz, Ablowitz, Bekir, Bekir, Bekir, Bekir, Chen, Chun, Chun, Clarkson, Cole, Conte, Conte, Dai, Ebaid, Efimova, El-Wakil, El-Wakil, Erbas, Ganji, Gardner, He, He, Hirota, Hopf, Khani, Korteweg, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kuramoto, Lan, Lax, Li, Lou, Malfliet, Nikolai A. Kudryashov, Noor, Parkes, Peng, Polyanin, Soliman, Ugurlu, Wang, Wazwaz, Wazwaz, Wazwaz, Wazwaz, Wazzan, Weiss, Weiss, Wu, Xie, Yusufogˇlu, Zabusky, Zhang, Zhang, Zhang, Zhang, Öziş, Öziş   +75 more
core   +2 more sources

Phenomenological Renormalization Group Methods [PDF]

, 1999
Some renormalization group approaches have been proposed during the last few years which are close in spirit to the Nightingale phenomenological procedure. In essence, by exploiting the finite size scaling hypothesis, the approximate critical behavior of
Figueiredo, W., Grandi, B. C. S., Plascak, J. A.   +2 more
core   +3 more sources

Correspondence matching with modal clusters [PDF]

, 2003
The modal correspondence method of Shapiro and Brady aims to match point-sets by comparing the eigenvectors of a pairwise point proximity matrix. Although elegant by means of its matrix representation, the method is notoriously susceptible to differences
Carcassoni, M, Hancock, E R
core   +2 more sources

Visually Grounded Word Embeddings and Richer Visual Features for Improving Multimodal Neural Machine Translation [PDF]

, 2017
In Multimodal Neural Machine Translation (MNMT), a neural model generates a translated sentence that describes an image, given the image itself and one source descriptions in English.
Delbrouck, Jean-Benoit, Dupont, Stéphane, Seddati, Omar   +2 more
core   +2 more sources