Results 31 to 40 of about 544,293 (332)
Electron acceleration in a helical waveguide [PDF]
, 2009 Travelling wave in a helical wave guide is considered for electron acceleration. A first determination of the travelling wave modes using a partial wave expansion (PWE) and a point matching method is presented.
Artru, X., Ray, C.
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Travelling-Wave Solutions for Wave Equations with Two Exponential Nonlinearities [PDF]
Zeitschrift für Naturforschung A, 2018 Abstract We use a simple method that leads to the integrals involved in obtaining the travelling-wave solutions of wave equations with one and two exponential nonlinearities. When the constant term in the integrand is zero, implicit solutions in terms of hypergeometric functions are obtained, while when that term is nonzero, all the ...
Stefan C. Mancas +2 more
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Nonlinear Engineering, 2021 Computational and travelling wave solutions provide significant improvements in accuracy and characterize novelty of imposed techniques. In this context, computational and travelling wave solutions have been traced out for Tzitzéica and Dodd-Bullough ...
Durur Hülya +2 more
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Study of Solutions for a Degenerate Reaction Equation with a High Order Operator and Advection
Mathematics, 2022 The goal of the present study is to characterize solutions under a travelling wave formulation to a degenerate Fisher-KPP problem. With the degenerate problem, we refer to the following: a heterogeneous diffusion that is formulated with a high order ...
José Luis Díaz Palencia +2 more
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A shooting argument approach to a sharp type solution for nonlinear degenerate Fisher-KPP equations [PDF]
, 1996 In this paper we prove the existence and uniqueness of a travelling-wave solution of sharp type for the degenerate (at u = 0) parabolic equation $u_1 = [D(u)u_x]_x + g(u)$ where D is a strictly increasing function and g is a function which generalizes ...
Kappos, E. +2 more
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Cross-diffusion induced Turing and non-Turing patterns in Rosenzweig–MacArthur model
Letters in Biomathematics, 2019 Pattern formation is widely studied in spatio-temporal prey– predator models with only self-diffusion terms. Models with cross-diffusion, besides self-diffusion, take care of the situation in which presence, absence, abundance or scarcity of one species ...
Nayana Mukherjee +2 more
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Study on the Nonlinear Dynamics of the (3+1)-Dimensional Jimbo-Miwa Equation in Plasma Physics
Axioms, 2023 The Jimbo-Miwa equation (JME) that describes certain interesting (3+1)-dimensional waves in plasma physics is studied in this work. The Hirota bilinear equation is developed via the Cole-Hopf transform.
Peng Xu +3 more
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A Generalization of the Hopf-Cole Transformation [PDF]
, 2012 A generalization of the Hopf-Cole transformation and its relation to the Burgers equation of integer order and the diffusion equation with quadratic nonlinearity are discussed. The explicit form of a particular analytical solution is presented.
Miskinis, Paulius
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Oscillatory traveling wave solutions for coagulation equations
Quarterly of Applied Mathematics, 2017 We consider Smoluchowski's coagulation equation with kernels of homogeneity one of the form $K_{\varepsilon }( , ) =\big( ^{1-\varepsilon }+ ^{1-\varepsilon }\big)\big ( \big) ^{\frac{\varepsilon }{2}}$. Heuristically, in suitable exponential variables, one can argue that in this case the long-time behaviour of solutions is similar to the ...
Niethammer, B., Velázquez, J. J. L.
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Analytical solution for dynamic response of curved tunnels under travelling wave effect
Yantu gongcheng xuebao, 2021 The tunnel section with curvature variation that restricts the seismic safety of a tunnel is one of the critical sections for structural design. However, the current seismic design of tunnel structures only focuses on the shear deformation of the tunnel ...
YU Hai-tao 1, LI Xin-xi2, LI Pan 2, 3
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