Book Review: Traveling wave solutions of parabolic systems
نویسندگان
چکیده
منابع مشابه
Some traveling wave solutions of soliton family
Solitons are ubiquitous and exist in almost every area from sky to bottom. For solitons to appear, the relevant equation of motion must be nonlinear. In the present study, we deal with the Korteweg-deVries (KdV), Modied Korteweg-de Vries (mKdV) and Regularised LongWave (RLW) equations using Homotopy Perturbation method (HPM). The algorithm makes use of the HPM to determine the initial expansion...
متن کاملsome traveling wave solutions of soliton family
solitons are ubiquitous and exist in almost every area from sky to bottom. for solitons to appear, the relevant equation of motion must be nonlinear. in the present study, we deal with the korteweg-devries (kdv), modi ed korteweg-de vries (mkdv) and regularised longwave (rlw) equations using homotopy perturbation method (hpm). the algorithm makes use of the hpm to determine the initial expansio...
متن کاملExistence of Traveling-wave Solutions to Boussinesq Systems
In this manuscript, the existence of traveling-wave solutions to Boussinesq systems ηt + ux + (ηu)x + auxxx − bηxxt = 0, ut + ηx + uux + cηxxx − duxxt = 0, is established. We prove that all the systems with a < 0, c < 0 and b = d exhibit traveling-wave solutions with small propagation speeds. The result complements our earlier work [6] on a restricted family of the systems where both existenc...
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We review the recent book authored by David L. Applegate, Robert E. Bixby, Vasěk Chvátal and William J. Cook, The traveling salesman problem: a computational study, Princeton Series in Applied Mathematics. Princeton University Press 2007, Hardback price $45.00 / £26.95, 606pp, ISBN 978-0-691-12993-8.
متن کاملTraveling Wave Solutions of 3D Fractionalized MHD Newtonian Fluid in Porous Medium with Heat Transfer
In the present paper, we get exact solutions of Magnetohydrodynamic (MHD) of the fractionalized three-dimensional flow of Newtonian fluid with porous and heat transfer through the traveling wave parameter. The governing equations are produced dependent on established Navier-stokes equations which can be diminished to ordinary differential equation by wave parameter ξ=ax+by+nz+Utα/Γ(α...
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ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1995
ISSN: 0273-0979
DOI: 10.1090/s0273-0979-1995-00607-5