Results 181 to 190 of about 12,223,520 (196)
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Mathematical Methods in the Applied Sciences, 2010
From the summary: We use the modified Kudryashov method or the rational Exp-function method to construct the solitary traveling wave solutions of the Kuramoto-Sivashinsky and seventh-order Sawada-Kotera equations.
Kabir, M. M. +3 more
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From the summary: We use the modified Kudryashov method or the rational Exp-function method to construct the solitary traveling wave solutions of the Kuramoto-Sivashinsky and seventh-order Sawada-Kotera equations.
Kabir, M. M. +3 more
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Communications in Theoretical Physics, 2017
Abstract In the present paper, we established a traveling wave solution by using modified Kudryashov method for the space-time fractional nonlinear partial differential equations. The method is used to obtain the exact solutions for different types of the space-time fractional nonlinear partial differential ...
Raslan, K. R. +2 more
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Abstract In the present paper, we established a traveling wave solution by using modified Kudryashov method for the space-time fractional nonlinear partial differential equations. The method is used to obtain the exact solutions for different types of the space-time fractional nonlinear partial differential ...
Raslan, K. R. +2 more
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Journal of Modern Optics, 2017
The main aim of this article is studying the coupled sine-Gordon equations in nonlinear optics, which describe the propagation of an optical pulse in fibre waveguide.
K. Hosseini, P. Mayeli, D. Kumar
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The main aim of this article is studying the coupled sine-Gordon equations in nonlinear optics, which describe the propagation of an optical pulse in fibre waveguide.
K. Hosseini, P. Mayeli, D. Kumar
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Optik, 2017
Abstract The nonlinear time-fractional Klein–Gordon equations play an important role in describing some physical events in solid state physics, nonlinear optics, and quantum field theory. In this paper, the time-fractional Klein–Gordon equations with quadratic and cubic nonlinearities in the sense of the conformable fractional derivative are solved ...
K. Hosseini, P. Mayeli, R. Ansari
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Abstract The nonlinear time-fractional Klein–Gordon equations play an important role in describing some physical events in solid state physics, nonlinear optics, and quantum field theory. In this paper, the time-fractional Klein–Gordon equations with quadratic and cubic nonlinearities in the sense of the conformable fractional derivative are solved ...
K. Hosseini, P. Mayeli, R. Ansari
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International Journal of Physical Research, 2022
The exact solutions of nonlinear evolution equations (NLEEs) play a vital role to reveal the central mechanism of complex physical phe-nomenon. More precisely, in this paper, we acquired new exact solutions to the (2+1)-dimensional cubic Klein–Gordon (cKG) and (3+1)-dimensional Zakharov–Kuznetsov (ZK) equations by using the modified Kudraysov ...
K. M. Abdul Al Woadud +2 more
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The exact solutions of nonlinear evolution equations (NLEEs) play a vital role to reveal the central mechanism of complex physical phe-nomenon. More precisely, in this paper, we acquired new exact solutions to the (2+1)-dimensional cubic Klein–Gordon (cKG) and (3+1)-dimensional Zakharov–Kuznetsov (ZK) equations by using the modified Kudraysov ...
K. M. Abdul Al Woadud +2 more
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Solutions of the nonlinear differential equations by use of modified Kudryashov method
2016Studies based on the non-linear physical problems have become very important in recent years. These problems are solved by using different mathematical approaches. In particular, the soliton solutions, compacton solutions, peakon solutions and other solutions have been found for such physical problems. Using a powerful method that is proposed to obtain
Tandoğan, Yusuf Ali +2 more
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SeMA Journal, 2018
The aim of this article is to obtain and study the solutions of conformable time fractional (1+2)-dimensional extended Zakharov–Kuznetsov equation (2D-FZKE) which is modeled to investigate the waves in magnetized plasma. Wave transformation in fractional form is applied to convert the original fractional order nonlinear partial differential equation ...
Muhammad Nasir Ali +2 more
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The aim of this article is to obtain and study the solutions of conformable time fractional (1+2)-dimensional extended Zakharov–Kuznetsov equation (2D-FZKE) which is modeled to investigate the waves in magnetized plasma. Wave transformation in fractional form is applied to convert the original fractional order nonlinear partial differential equation ...
Muhammad Nasir Ali +2 more
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Witham-Broer-Kaup Equation Via Symmetry Method and Modified Kudryashov Method
Mathematical Sciences Letters, 2019openaire +1 more source