Results 1 to 10 of about 488 (67)
Taylor Series for Adomian Decomposition Method [PDF]
, 2011 In the paper we analyse the exact solutions to scalar PDEs obtained thanks to summable Taylor series provided by Adomian's decomposition method. We propose the modification of the method which makes the calculations of Taylor coefficients easier and more direct.
Kutafina, Ekaterina
arxiv +3 more sources
Nonlinear Engineering, 2023 In this work, the generalized scale-invariant analog of the Korteweg–de Vries equation is studied. For the first time, the tanh–coth methodology is used to find traveling wave solutions for this nonlinear equation.
González-Gaxiola Oswaldo +1 more
doaj +1 more source
Advances in Mechanical Engineering, 2021 For this work, a novel numerical approach is proposed to obtain solution for the class of coupled time-fractional Boussinesq–Burger equations which is a nonlinear system.
Mahmoud S Alrawashdeh, Shifaa Bani-Issa
doaj +1 more source
Annales Mathematicae Silesianae, 2020 This work presents a numerical comparison between two efficient methods namely the fractional natural variational iteration method (FNVIM) and the fractional natural homotopy perturbation method (FNHPM) to solve a certain type of nonlinear Caputo time ...
Khalouta Ali, Kadem Abdelouahab
doaj +1 more source
Perturbational Blowup Solutions to the 2-Component Camassa-Holm Equations [PDF]
, 2010 In this article, we study the perturbational method to construct the non-radially symmetric solutions of the compressible 2-component Camassa-Holm equations.
Camassa +25 more
core +2 more sources
On Transformations of the Rabelo Equations [PDF]
, 2007 We study four distinct second-order nonlinear equations of Rabelo which describe pseudospherical surfaces. By transforming these equations to the constant-characteristic form we relate them to some well-studied integrable equations.
Sakovich, Anton, Sakovich, Sergei
core +3 more sources
Multi-integral representations for associated Legendre and Ferrers functions
, 2020 For the associated Legendre and Ferrers functions of the first and second kind, we obtain new multi-derivative and multi-integral representation formulas.
Cohl, Howard S. +1 more
core +1 more source
Veterinary Dermatology, Volume 27, Issue 6, Page 478-e129, December 2016., 2016 Background – Pruritus is the hallmark clinical sign of atopic dermatitis (AD) in dogs. Lokivetmab, a caninized anti‐canine IL‐31 monoclonal antibody, reduced pruritus and associated inflammatory skin lesions in a proof of concept study in dogs with AD.
Gina M. Michels +7 more
wiley +1 more source
Eigenstructure of the equilateral triangle. Part III. The Robin problem
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 16, Page 807-825, 2004., 2004 Lamé′s formulas for the eigenvalues and eigenfunctions of the Laplacian on an equilateral triangle under Dirichlet and Neumann boundary conditions are herein extended to the Robin boundary condition. They are shown to form a complete orthonormal system. Various properties of the spectrum and modal functions are explored.
Brian J. McCartin
wiley +1 more source
On a Whitham-Type Equation [PDF]
, 2009 The Hunter-Saxton equation and the Gurevich-Zybin system are considered as two mutually non-equivalent representations of one and the same Whitham-type equation, and all their common solutions are obtained ...
Sakovich, Sergei
core +5 more sources