Results 31 to 40 of about 53,167 (307)
, 2010 The extended tanh-function expansion method for finding solutions to nonlinear evolution equations delivers solutions in a straightforward manner and in a neat and helpful form.
Parkes, E.J.
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Results in Physics, 2014 Periodic and soliton solutions are presented for the (1+1)-dimensional classical Boussinesq equation which governs the evolution of nonlinear dispersive long gravity wave traveling in two horizontal directions on shallow water of uniform depth.
Harun-Or- Roshid, Md. Azizur Rahman
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Alexandria Engineering Journal, 2020 The mathematical modeling of physical systems is generally governed by evolution equations in nonlinear form. Therefore, it is critical to obtain exact analytical solutions to these equations.
S. Sahoo, S. Saha Ray, M.A. Abdou
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Evolution equation for nonlinear Lucassen waves [PDF]
The Journal of the Acoustical Society of America, 2019 A nonlinear, fractional, surface-wave equation was developed recently by Kappler et al. [Phys. Rev. Fluids 2, 114804 (2017)] for propagation along an elastic interface coupled to a viscous incompressible medium. Linear theory for attenuation and dispersion of such a wave was developed originally by Lucassen [Trans. Faraday Soc.
Blake E. Simon +2 more
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Neumann problem on the semi-line for the Burgers equation
, 2011 In this article, the Neumann problem on the semi-line for the Burgers equation is considered. The problem is reduced to a nonlinear integral equation in one independent variable, whose unique solution is proven to exist for small time.
Sommacal, Matteo, de Lillo, Silvana
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The Scientific World Journal, 2014 This paper presents a new method for solving higher order nonlinear evolution partial differential equations (NPDEs). The method combines quasilinearisation, the Chebyshev spectral collocation method, and bivariate Lagrange interpolation.
S. S. Motsa, V. M. Magagula, P. Sibanda
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Remarks on Nonlinear Evolution Equations
Journal of Mathematical Analysis and Applications, 1996 In the paper fully nonlinear evolution equations \[ {du \over dt} +A(t,u,u) = 0, \quad 0\leq t\leq T,\quad u(0) =\varphi, \] in a Banach space \(X\) are considered. Here \(T>0\), \(A\) is a nonlinear mapping of a subset \(D(A) \subset [0,T] \times X \times X\) into \(X\) and \(\varphi \in X\).
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Investigation on breather waves and rogue waves in applied mechanics and physics
Alexandria Engineering Journal, 2021 Nonlinear evolution equation is a research hot spot in the field of science and engineering. Recently, searching for breather and rogue wave solutions to nonlinear evolution equations has become a popular topic in nonlinear mathematical physics.
Xueai Yin +4 more
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Molecular Oncology, EarlyView.Many patients with urothelial cancer do not benefit from treatment with pembrolizumab, while at risk of severe side effects. Changes in the levels of circulating tumor DNA early during treatment, measured by a simple and affordable assay that can be easily implemented in the clinic, can be used as a prognostic tool to identify these patients.
Youssra Salhi +14 more
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An approach to nonlinear viscoelasticity via metric gradient flows [PDF]
, 2013 We formulate quasistatic nonlinear finite-strain viscoelasticity of rate type as a gradient system. Our focus is on nonlinear dissipation functionals and distances that are related to metrics on weak diffeomorphisms and that ensure time-dependent frame ...
Mielke, A. +4 more
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