Constructing Soliton and Kink Solutions of PDE Models in Transport and Biology

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dc.creatorVladimirov, Vsevolod A.
dc.creatorKutafina, Ekaterina V.
dc.creatorPudelko, Anna
dc.date2006-06-19
dc.date.accessioned2026-07-07T09:34:25Z
dc.date.available2026-07-07T09:34:25Z
dc.descriptionWe present a review of our recent works directed towards discovery of a periodic, kink-like and soliton-like travelling wave solutions within the models of transport phenomena and the mathematical biology. Analytical description of these wave patterns is carried out by means of our modification of the direct algebraic balance method. In the case when the analytical description fails, we propose to approximate invariant travelling wave solutions by means of an infinite series of exponential functions. The effectiveness of the method of approximation is demonstrated on a hyperbolic modification of Burgers equation.
dc.descriptionPublished in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/
dc.identifierhttps://arxiv.org/abs/math-ph/0606042
dc.identifierhttp://arxiv.org/abs/math-ph/0606042
dc.identifierSIGMA 2 (2006), 061, 15 pages
dc.identifierdoi:10.3842/SIGMA.2006.061
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/159486
dc.subjectMathematical Physics
dc.subjectExactly Solvable and Integrable Systems
dc.titleConstructing Soliton and Kink Solutions of PDE Models in Transport and Biology
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