Results 21 to 30 of about 1,551,677 (306)
On the discrete and continuous Miura Chain associated with the Sixth Painlevé Equation [PDF]
, 1999 A Miura chain is a (closed) sequence of differential (or difference) equations that are related by Miura or B\"acklund transformations. We describe such a chain for the sixth Painlev\'e equation (\pvi), containing, apart from \pvi itself, a Schwarzian ...
Ablowitz +25 more
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Permeability Models for Magma Flow through the Earth's Mantle: A Lie Group Analysis
Journal of Applied Mathematics, 2013 The migration of melt through the mantle of the Earth is governed by a third-order nonlinear partial differential equation for the voidage or volume fraction of melt.
N. Mindu, D. P. Mason
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Solving the Generalized Rosenau-KdV Equation by the Meshless Kernel-Based Method of Lines
Cumhuriyet Science Journal, 2022 This current investigation consists of the numerical solutions of the Generalized Rosenau-KdV equation by using the meshless kernel-based method of lines, which is a truly meshless method.
Murat Arı +2 more
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Mathematics, 2021 This paper studies a non-linear viscoelastic wave equation, with non-linear damping and source terms, from the point of view of the Lie groups theory.
Almudena P. Márquez, María S. Bruzón
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Solution of fractional modified Kawahara equation: a semi-analytic approach
Mathematics in Applied Sciences and Engineering, 2023 The present study examines a semi-analytical method known as the Fractional Residual Power Series Method for obtaining solutions to the non-linear, time-fractional Kawahara and modified Kawahara equations.
Sagar Khirsariya +2 more
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Solving linear parabolic rough partial differential equations [PDF]
, 2018 We study linear rough partial differential equations in the setting of [Friz and Hairer, Springer, 2014, Chapter 12]. More precisely, we consider a linear parabolic partial differential equation driven by a deterministic rough path $\mathbf{W}$ of H ...
Bayer, Christian +4 more
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Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2020 Background. The problem of evaluation of the special (singular) solutions of Clairaut-type partial differential equations attracts a lot of interest studying various transformations of nonlinear equations of mathematical physics, for example, Legendre
L. L. Ryskina +2 more
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Bilinear Equation of the Nonlinear Partial Differential Equation and Its Application
Journal of Function Spaces, 2020 The homogeneous balance of undetermined coefficient method is firstly proposed to derive a more general bilinear equation of the nonlinear partial differential equation (NLPDE).
Xiao-Feng Yang, Yi Wei
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Oscillation of certain nonlinear fractional partial differential equation with damping term
Applied Mathematics Letters, 2015 In this paper, we investigate the oscillatory behavior of solutions of the nonlinear fractional partial differential equation with damping and forced term subject to Robin boundary condition by using differential inequality method as well as integral ...
P. Prakash +2 more
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The Helically-Reduced Wave Equation as a Symmetric-Positive System [PDF]
, 2003 Motivated by the partial differential equations of mixed type that arise in the reduction of the Einstein equations by a helical Killing vector field, we consider a boundary value problem for the helically-reduced wave equation with an arbitrary source ...
Torre, C. G.
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