Results 41 to 50 of about 3,915 (198)
Nonlinear Engineering, 2017 The aim of this paper is to obtain the exact solutions of the strain wave equation applied for illustrating wave propagation in microstructured solids.
Ayati Z., Hosseini K., Mirzazadeh M.
doaj +1 more source
Novel Solutions of Perturbed Boussinesq Equation
Journal of Mathematical Sciences and Modelling, 2022 In this article, we have worked on the perturbed Boussinesq equation. We have applied the generalized Kudryashov method (GKM) and sine-Gordon expansion method (SGEM) to the perturbed Boussinesq equation. So, we have obtained some new soliton solutions of
Şeyma Tülüce Demiray, Uğur Bayrakcı
doaj +1 more source
On Completely Integrability Systems of Differential Equations
, 2010 In this note we discuss the approach which was given by Wazwaz for the proof of the complete integrability to the system of nonlinear differential equations. We show that his method presented in [Wazwaz A.M.
Ablowitz +30 more
core +1 more source
Journal of Ocean Engineering and Science, 2018 The paper deals with the obliquely propagating wave solutions of fractional nonlinear evolution equations (NLEEs) arising in science and engineering. The conformable time fractional (2 + 1)-dimensional extended Zakharov-Kuzetsov equation (EZKE), coupled ...
F. Ferdous, M.G. Hafez
doaj +1 more source
Universe, 2022 In this scientific research article, the new Kudryashov method and the tanh-coth method, which have not been applied before, are employed to construct analytical and soliton solutions of the (2+1)-dimensional Hirota–Maccari system.
Neslihan Ozdemir +3 more
doaj +1 more source
, 2011 Meromorphic solutions of autonomous nonlinear ordinary differential equations are studied. An algorithm for constructing meromorphic solutions in explicit form is presented.
Eremenko +21 more
core +1 more source
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
Exact solutions of the generalized $K(m,m)$ equations
, 2011 Family of equations, which is the generalization of the $K(m,m)$ equation, is considered.
Biswas +30 more
core +1 more source
Application of the Kudryashov Method for Finding Exact Solutions of the Schamel – Kawahara Equation
Nelineinaya Dinamika, 2022 Recently, motivated by the interest in the problems of nonlinear dynamics of cylindrical shells, A. I. Zemlyanukhin et al. (Nonlinear Dyn, 98, 185–194, 2019) established the so-called Schamel – Kawahara equation (SKE). The SKE generalizes the well-known nonlinear Schamel equation that arises in plasma physics problems, by adding the high-order ...
González-Gaxiola, Oswaldo +2 more
openaire +2 more sources
Meromorphic exact solutions of the generalized Bretherton equation
, 2011 The generalized Bretherton equation is studied. The classification of the meromorphic traveling wave solutions for this equation is presented.
Abramowitz +20 more
core +1 more source