Results 51 to 60 of about 34,807 (305)
Soliton solutions to the time-dependent coupled KdV–Burgers’ equation
Advances in Difference Equations, 2019 In this article, the authors apply the Lie symmetry approach and the modified (G′/G) $( G'/G )$-expansion method for seeking the solutions of time-dependent coupled KdV–Burgers equation.
Aisha Alqahtani, Vikas Kumar
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Expansion of solutions to an ordinary differential equation into transseries
Доклады Академии наук, 2019 We consider a polynomial ODE of the order n in a neighbourhood of zero or of infinity of the independent variable. A method of calculation of its solutions in the form of power series and an exponential addition, which contains one more power series, was described.
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FEBS Letters, EarlyView.Embryo‐like structures (stembryos) are an innovative tool, but they are hindered by experimental variability and limited developmental potential. DNA methylation is crucial for mammalian development, but its status in stembryo models is poorly characterized.
Sara Canil +4 more
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Perturbation Expansion to the Solution of Differential Equations
, 2021 The main purpose of this chapter is to describe the application of perturbation expansion techniques to the solution of differential equations. Approximate expressions are generated in the form of asymptotic series. These may not and often do not converge but in a truncated form of only two or three terms, provide a useful approximation to the original
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A splitting/polynomial chaos expansion approach for stochastic evolution equations.
, 2020 In this paper, we combine deterministic splitting methods with a polynomial chaos expansion method for solving stochastic parabolic evolution problems. The stochastic differential equation is reduced to a system of deterministic equations that we solve ...
Kofler, Andreas +3 more
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FEBS Letters, EarlyView.Ascidian Ciona larvae initially show strong clockwise tail twisting, which is largely corrected during development. However, a small residual twist remains. This study shows that organized helical myofibrils in tail muscles mechanically stabilize this residual asymmetry, preventing complete restoration of bilateral symmetry and revealing how embryos ...
Yuki S. Kogure +3 more
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Journal of Mathematical Extension, 2011 In this work, the generalized ( G0 G )–expansion method is applied to solve the coupled Boiti-Leon-Pempinelli system (BLP system). Generalized ( G0 G )-expansion method was used to construct solitary wave solutions of the nonlinear evolution ...
M. Fazli Aghdaei, J. Manafianheris∗
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Radial solutions of a class of iterated partial differential equations [PDF]
, 2005 summary:We give some expansion formulas and the Kelvin principle for solutions of a class of iterated equations of elliptic ...
Çetinkaya, A., Özalp, N.
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FEBS Letters, EarlyView.This study reveals that the small GTPase Rab14 is necessary for human papillomavirus (HPV) infection and plays an essential role in the transport of virions to the trans‐Golgi network (TGN). HPV in the early endosome (EE), which harbors GTP‐bound Rab14, is transported to the TGN through the switch of Rab14 from its GTP‐bound to GDP‐bound form.
Yoshiyuki Ishii, Iwao Kukimoto
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Mathematics, 2022 The family of the generalized Schrödinger equations with Kerr nonlinearity of unrestricted order is considered. The solutions of equations are looked for using traveling wave reductions. The Painlevé test is applied for finding arbitrary constants in the
Nikolay A. Kudryashov
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