Results 71 to 80 of about 284 (125)
Journal of Mathematics, Volume 2026, Issue 1, 2026.A new negative‐order form of the (3 + 1)‐dimensional Calogero–Bogoyavlenskii–Schiff equation is examined in this investigation. This equation plays an important role in accurately describing the thermodynamic properties of mixtures, particularly in chemical engineering applications.
Ulviye Demirbilek +6 more
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Solving fractional nonlinear partial differential equations by the modified Kudryashov method
Journal of Physics: Conference Series, 2019 Abstract There are more and more methods for transforming nonlinear partial differential equations into ordinary differential equations by using the traveling wave transform. In this paper, the modified Kudryashov method is used to use the new traveling wave transform, and the exact solution of the space-time fractional equal-width ...
Menghan Hao, Yanni Zhang, Jing Pang
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Journal of Applied Mathematics, 2013 Based on the F-expansion method, and the extended version of F-expansion method, we investigate the exact solutions of the Kudryashov-Sinelshchikov equation. With the aid of Maple, more exact solutions expressed by Jacobi elliptic function are obtained.
Yun-Mei Zhao
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Stationary wave solutions for new developed two-waves’ fifth-order Korteweg–de Vries equation
Advances in Difference Equations, 2019 In this work, we present a new two-waves’ version of the fifth-order Korteweg–de Vries model. This model describes the propagation of moving two-waves under the influence of dispersion, nonlinearity, and phase velocity factors.
Mohammed Ali +3 more
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Alexandria Engineering JournalThis study delves into the exploration of the (3+1)-dimensional generalized nonlinear fractional Konopelchenko–Dubrovsky–Kaup–Kupershmidt (GFKDKK) system, a crucial nonlinear evolution equation governing wave motion across various physical domains.
Mostafa M.A. Khater
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Nonlinear Analysis, 2012 In this article we find the exact traveling wave solutions of the Kudryashov–Sinelshchikov equation and nonlinear telegraph equation by using the first integral method. This method is based on the theory of commutative algebra. This method can be applied
Mohammad Mirzazadeh, Mostafa Eslami
doaj
A new approach to Kudryashov’s method for solving some nonlinear physical models
International Journal of the Physical Sciences, 2012 In this paper, we give a new version of the Kudryashov's method for solving non-integrable partial differential equations in mathematical physics. Some exact solutions including 1-soliton and singular soliton solutions of the equation with generalized evolution and time dependent damping and dispersion are obtained by using this new approach.
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Partial Differential Equations in Applied MathematicsIn this study, the (3 + 1)-dimensional space-time fractional Boiti–Leon–Manna–Pempinelli (BLMP) equation is investigated utilizing the Kudryashov method (KM) and the modified Kudryashov method (MKM). These two efficient methods are implemented to acquire
A.K. Sahoo, A.K. Gupta
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Scientific ReportsComplex and nonlinear fractal equations are ubiquitous in natural phenomena. This research employs the fractal Euler−Lagrange and semi-inverse methods to derive the nonlinear space–time fractal Fornberg–Whitham equation.
A. Nazari-Golshan
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Alexandria Engineering JournalThe (3+1)-dimensional Kadomtsev–Petviashvili equation arises in various physical contexts, including fluid mechanics, plasma physics, and nonlinear optics. Exact solutions play a vital role in understanding the physical behavior of a system.
Amjad E. Hamza +5 more
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