Questions proposées. Problèmes de dynamique
(1817/1818)
Annales de Gergonne
(1817/1818)
Annales de Gergonne
(1817/1818)
Annales de Gergonne
(1817/1818)
Annales de Gergonne
Muraskin, M. (1993)
International Journal of Mathematics and Mathematical Sciences
Langer, Joel (1999)
The New York Journal of Mathematics [electronic only]
Gerdjikov, Vladimir S., Kostov, Nikolay A. (2008)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
Lin, Runliang, Yao, Haishen, Zeng, Yunbo (2006)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
Varlamov, Vladimir (2010)
International Journal of Differential Equations
Oliver C. Schnürer, Felix Schulze (2007)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
We consider a network in the Euclidean plane that consists of three distinct half-lines with common start points. From that network as initial condition, there exists a network that consists of three curves that all start at one point, where they form degree angles, and expands homothetically under curve shortening flow. We also prove uniqueness of these networks.
Anatoly Nikitin, Tetyana Barannyk (2004)
Open Mathematics
A number of explicit solutions for the heat equation with a polynomial non-linearity and for the Fisher equation is presented. An extended class of non-linear heat equations admitting solitary wave solutions is described. The generalization of the Fisher equation is proposed whose solutions propagate with arbitrary ad hoc fixed velocity.
Shateri, Majid, Ganji, D.D. (2010)
International Journal of Differential Equations
Izquierdo, Alberto Alonso, León, Miguel Ángel González, De La Torre Mayado, Marina (2010)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
Anne de Bouard, Jean-Claude Saut (1997)
Annales de l'I.H.P. Analyse non linéaire
Zhou, Jiangbo, Tian, Lixin, Fan, Xinghua (2009)
Mathematical Problems in Engineering
Justin Holmer, Jeremy Marzuola, Maciej Zworski (2006)
Journées Équations aux dérivées partielles
Ladislav Hlavatý (1989)
Pokroky matematiky, fyziky a astronomie
Cornelia Schiebold (2002)
Revista Matemática Complutense
In the present paper, we construct a particular class of solutions of the sine-Gordon equation, which is the exact analogue of the so-called negatons, a solution class of the Korteweg-de Vries equation discussed by Matveev [17] and Rasinariu et al. [21]. Their characteristic properties are: Each solution consists of a finite number of clusters. Roughly speaking, in such a cluster solitons are grouped around a center, and the distance between two of them grows logarithmically. The clusters themselves...
Zhou, Jiangbo, Tian, Lixin (2009)
Mathematical Problems in Engineering
Stepanyants, Yury A. (2008)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]