Results 11 to 20 of about 101 (99)
, 2023 In this paper, we discussed the enhanced Kudryashov’s and general projective Riccati equations techniques for obtaining exact solutions to the fifth-order nonlinear water wave (FONLWWE) equation.
Mohammad Mirzazadeh +3 more
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Soliton waves with the (3+1)-dimensional kadomtsev–petviashvili–boussinesq equation in water wave dynamics [PDF]
, 2023 : We examined the (3+1)-dimensional Kadomtsev–Petviashvili–Boussinesq (KP-B) equation, which arises not only in fluid dynamics, superfluids, physics, and plasma physics but also in the construction of connections between the hydrodynamic and optical ...
Bayram, Mustafa +3 more
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Symmetry Analysis, Exact Solutions and Conservation Laws of a Benjamin–Bona–Mahony–Burgers Equation in 2+1-Dimensions [PDF]
, 2021 The Benjamin–Bona–Mahony equation describes the unidirectional propagation of small-amplitude long waves on the surface of water in a channel. In this paper, we consider a family of generalized Benjamin–Bona–Mahony–Burgers equations depending on three ...
María Bruzón +5 more
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, 2023 This study integrates the (1 + 1)-dimensional time M-fractional Lonngren-wave (tM-fLW) equation. This equation is useful to describe the phenomenon of the electric signals in telegraph lines at the source of the tunnel diode.
Md Mamunur Roshid +5 more
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Symmetric Fibonacci Function Solutions of some Nonlinear Partial Differential Equations [PDF]
, 2014 A new version of the Kudryashov’s method for solving non-integrable problems in mathematical physics is presented in this paper. New exact solutions of the heat conduction equation and K(m,n) equation with generalized evolution are obtained by using this
PANDIR, YUSUF
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An encyclopedia of Kudryashov’s integrability approaches applicable to optoelectronic devices
, 2022 Purpose: In the last decades, many researchers have performed their best in order to find the solution of the nonlinear evolution equations, nonlinear partial differential equations (NLPDEs), fractional nonlinear partial differential equations and ...
Bayram, Mustafa +5 more
core +1 more source
, 2022 The analytical soliton solutions to the coupled Radhakrishnan-Kundu-Lakshmanan (RKL) model are greatly important for birefringent fibers without the effect of four-wave mixing (4WM).
M. S. Mehanna +3 more
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, 2023 This article aims to achieve families of new traveling wave solutions to the (2 + 1)-dimensional nonlinear evolution equation using three powerful analytical techniques: the general form of Kudryashov’s method, the Bernoulli sub-ODE method, and the ...
M.S. Mehanna +4 more
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Unveiling New Perspectives on the Hirota–Maccari System With Multiplicative White Noise
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this study, we delve into the stochastic Hirota–Maccari system, which is subjected to multiplicative noise according to the Itô sense. The stochastic Hirota–Maccari system is significant for its ability to accurately model how stochastic affects nonlinear wave propagation, providing valuable insights into complex systems like fluid dynamics
Mohamed E. M. Alngar +3 more
wiley +1 more source
Engineering Reports, Volume 8, Issue 6, June 2026.This study investigates a nonlinear Navier‐Stokes‐type model for elastic cylindrical vessels. Exact solutions are derived via the Bäcklund transformation and the ϕ6$$ {\phi}^6 $$‐expansion method, and dynamical behaviors are analyzed using bifurcation and chaos tools, revealing diverse wave structures and parameter‐dependent propagation characteristics.
Sheikh Zain Majid +2 more
wiley +1 more source