Results 11 to 20 of about 2,101 (185)

Optical soliton perturbation with Kudryashov’s generalized law of refractive index and generalized nonlocal laws by improved modified extended tanh method

Alexandria Engineering Journal, 2022
In this work, the improved modified extended tanh scheme is implemented to extract exact travelling wave solutions for perturbed nonlinear Schrödinger’s equation with Kudryashov’s law of refractive index and dual form of generalized nonlocal nonlinearity. Various types of solutions are extracted such as bright solitons, singular solitons, dark solitons,
Islam Samir, Niveen Badra, Hamdy M. Ahmed, Ahmed H. Arnous   +3 more
openaire   +4 more sources

Nonlinear wave solutions of the Kudryashov–Sinelshchikov dynamical equation in mixtures liquid-gas bubbles under the consideration of heat transfer and viscosity

Journal of Taibah University for Science, 2019
In this research, we constructed the exact travelling and solitary wave solutions of the Kudryashov–Sinelshchikov (KS) equation by implementing the modified mathematical method.
Aly R. Seadawy, Mujahid Iqbal, Dianchen Lu   +2 more
doaj   +2 more sources

Extraction of solitons in magneto–optic waveguides for coupled NLSEs with Kudryashov's law of nonlinearity via modified extended direct algebraic method

Ain Shams Engineering Journal
In this paper, the modified extended direct algebraic technique is used for determining new and various traveling wave solutions to the coupled nonlinear Schrödinger equation (NLSE) with Kudryashov's law of nonlinearity. This model describes the propagation of optical solitons through magneto-optic wave-guides.
Ola El-Shamy, Reda El-Barkouky, Hamdy M. Ahmed, W. Abbas, Islam Samir   +4 more
openaire   +4 more sources

Traveling Wave Solutions For Two Physical Models via Extended Modified Kudryashov Method

Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2021
In this paper, we propose the extended modified Kudryashov method (EMKM) for solving the Biswas-Milovic equation and Gerdjikov-Ivanov equation which are commonly special cases of Schrödinger equation in mathematical physics. We received many new extended traveling wave solutions when the special values of the parameters are taken for these equations ...
Şerife Müge EGE, Şerife Müge EGE
openaire   +3 more sources

Abundant stable novel solutions of fractional-order epidemic model along with saturated treatment and disease transmission

Open Physics, 2022
This article proposes and analyzes a fractional-order susceptible, infectious, susceptible (SIS) epidemic model with saturated treatment and disease transmission by employing four recent analytical techniques along with a novel fractional operator.
Khater Mostafa M. A., Lu Dianchen, Salama Samir A.   +2 more
doaj   +1 more source

Diversity of wave structures to the conformable fractional dynamical model

Journal of Ocean Engineering and Science, 2023
This manuscript examines the recently developed conformable three-dimensional Wazwaz–Benjamin–Bona–Mahony (3D-WBBM) equation’s dynamical behavior in terms of its spatial and temporal variables.
U. Younas, J. Ren
doaj   +1 more source

Meromorphic solutions of nonlinear ordinary differential equations [PDF]

, 2010
Exact solutions of some popular nonlinear ordinary differential equations are analyzed taking their Laurent series into account. Using the Laurent series for solutions of nonlinear ordinary differential equations we discuss the nature of many methods for
Aslan, Assas, Bateman, Benney, Berloff, Billingham, Burgers, Cohen, Cole, Dai, Drazin, Eremenko, Fu, Hopf, Inan, Kangalgil, Korteweg, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kuramoto, Köroglu, Li, Li, Nikolai A. Kudryashov, Parkes, Parkes, Salas, Sarma, Shang, Shkadov, Sivashinsky, Topper, Wang, Wazzan, Wen, Whitham, Yu, Zhang, Zhang, Zheng, Zhu   +52 more
core   +1 more source

Semi–analytical and numerical simulations of the modified Benjamin–Bona–Mahony model

Journal of Ocean Engineering and Science, 2022
In this article, semi-analytical and numerical simulations of the well-known modified Benjamin–Bona–Mahony (mBBM) equation are processed. This study targets to check the accuracy of the obtained analytical solutions of the mBBM model that have been ...
Mostafa M.A. Khater, Samir A. Salama
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

Multi–solitons, lumps, and breath solutions of the water wave propagation with surface tension via four recent computational schemes

Ain Shams Engineering Journal, 2021
This research explores the complex and physical behavior, using four different theoretical methods, of water wave propagation with surface tension. A modern Benneye-Luke (BL) algorithm is used to identify a variety of unobtained distinct wave solution ...
Mostafa M.A. Khater, Mustafa Inc, K.S. Nisar, Raghda A.M. Attia   +3 more
doaj   +1 more source