New exact solutions of a nonlinear integrable equation
Sign Up to like & getrecommendations! Published in 2020 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.6419
Abstract: Analytic solutions of the partial differential equations are needed to explain many phenomena seen in thermodynamics, aerodynamics, plasma physics, and other fields. In this paper, variational principle is analyzed of the integrable nonlinear Korteweg–de Vries… read more here.
Keywords: integrable equation; new exact; solutions nonlinear; equation ... See more keywords
Comment on “New exact solution of Euler’s equations (rigid body dynamics) in the case of rotation over the fixed point”
Sign Up to like & getrecommendations! Published in 2017 at "Archive of Applied Mechanics"
DOI: 10.1007/s00419-016-1173-1
Abstract: The analysis of the paper “New exact solution of Euler’s equations (rigid body dynamics) in the case of rotation over the fixed point” is made. It is shown that the solution is reduced to a… read more here.
Keywords: euler; case; exact solution; rotation ... See more keywords
New exact solutions for coupled nonlinear system of ion sound and Langmuir waves
Sign Up to like & getrecommendations! Published in 2019 at "Indian Journal of Physics"
DOI: 10.1007/s12648-019-01522-7
Abstract: In this work, our main goal is to study a new wave behavior of the nonlinear system associated with ionic wave equations under the influence of the ponderomotive force caused by a nonlinear force experienced… read more here.
Keywords: system; coupled nonlinear; nonlinear system; solutions coupled ... See more keywords
New exact traveling wave solutions of the unstable nonlinear Schrödinger equations and their applications
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DOI: 10.1016/j.ijleo.2020.165386
Abstract: Abstract The unstable nonlinear Schrodinger dynamical models reveal the temporal evolution of disturbances in the media of unstable or marginally stable. In this paper, we executed the proposed modified exponential rational functionmethod (MERFM), the wave… read more here.
Keywords: wave solutions; exact traveling; unstable nonlinear; new exact ... See more keywords
New exact Betchov-like relation for the helicity flux in homogeneous turbulence
Sign Up to like & getrecommendations! Published in 2023 at "Journal of Fluid Mechanics"
DOI: 10.1017/jfm.2023.236
Abstract: Abstract In homogeneous and isotropic turbulence, the relative contributions of different physical mechanisms to the energy cascade can be quantified by an exact decomposition of the energy flux (Johnson, Phys. Rev. Lett., vol. 124, 2020,… read more here.
Keywords: betchov; new exact; mean flux; helicity ... See more keywords
Peakons and new exact solitary wave solutions of extended quantum Zakharov-Kuznetsov equation
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DOI: 10.1063/1.4989707
Abstract: In this paper, the three dimensional extended quantum Zakharov-Kuznetsov equation, which arises in the dimensionless hydrodynamic equations describing the nonlinear propagation of the quantum ion-acoustic waves, is investigated by an auxiliary equation method. As a… read more here.
Keywords: zakharov kuznetsov; extended quantum; equation; new exact ... See more keywords
New exact periodic solitary-wave solutions for the new (3+1)-dimensional generalized Kadomtsev-Petviashvili equation in multi-temperature electron plasmas
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DOI: 10.1063/1.4999913
Abstract: In this paper, we aim to introduce a new form of the (3+1)-dimensional generalized Kadomtsev-Petviashvili equation for the long waves of small amplitude with slow dependence on the transverse coordinate. By using the Hirota’s bilinear… read more here.
Keywords: kadomtsev petviashvili; petviashvili equation; dimensional generalized; new exact ... See more keywords
Study of stationary rigidly rotating anisotropic cylindrical fluids with new exact interior solutions of GR. IV. Radial pressure
Sign Up to like & getrecommendations! Published in 2022 at "Journal of Mathematical Physics"
DOI: 10.1063/5.0121183
Abstract: This article belongs to a series where the influence of anisotropic pressure on gravitational properties of rigidly rotating fluids is studied using new exact solutions of GR constructed for the purpose. For mathematical simplification, stationarity… read more here.
Keywords: stationary rigidly; rotating anisotropic; rigidly rotating; new exact ... See more keywords
New exact solutions of Burgers’ type equations with conformable derivative
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DOI: 10.1080/17455030.2016.1205237
Abstract: In this paper, the new exact solutions for some nonlinear partial differential equations are obtained within the newly established conformable derivative. We use the first integral method to establish the exact solutions for time-fractional Burgers’… read more here.
Keywords: conformable derivative; type equations; solutions burgers; new exact ... See more keywords
New exact solutions of the reaction–diffusion equation with variable coefficients via the mathematical computation
Sign Up to like & getrecommendations! Published in 2018 at "International Journal of Biomathematics"
DOI: 10.1142/s1793524518500511
Abstract: In this paper, we construct new exact solutions of the reaction–diffusion equation with time dependent variable coefficients by employing the mathematical computation via the Painleve test. We desc... read more here.
Keywords: variable coefficients; reaction diffusion; solutions reaction; diffusion equation ... See more keywords
New exact solutions for Kudryashov–Sinelshchikov equation
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DOI: 10.1186/s13662-018-1769-6
Abstract: In this paper, we firstly change the auxiliary second order ordinary differential equation in the G′G$\frac{G'}{G}$-polynomial expansion method to the Riccati equation. By solving the Riccati equation, we obtain more exact solutions to the auxiliary… read more here.
Keywords: sinelshchikov equation; solutions kudryashov; kudryashov sinelshchikov; equation ... See more keywords