Nonlinear systems and their remarkable mathematical structures. Volume 1 /
"The book aims to describe some recent progress in nonlinear differential equations and nonlinear dynamical systems (both continuous and discrete)"--
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| Format: | eBook |
| Language: | English |
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Boca Raton, FL :
CRC Press, Taylor & Francis Group,
[2019]
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| Online Access: | Connect to the full text of this electronic book |
Table of Contents:
- Systems of nonlinearly-coupled differential equations solvable by algebraic operations / F. Calogero
- Integrable nonlinear PDEs on the half-line / A S Fokas and B Pelloni
- Detecting discrete integrability: the singularity approach / B. Grammaticos, A Ramani, R Willox and T Mase
- Elementary introduction to discrete soliton equations / J Hietarinta
- New results on integrability of the Kahan-Hirota-Kimura discretizations / Yu B Suris and M Petrera
- Dynamical systems satisfied by special polynomials and related isospectral matrices defined in terms of their zeros / O Bihun
- Singularity methods for meromorphic solutions of differential equations / R Conte, T W Ng and C Wu
- Pfeiffer-Sato solutions of Buhl's problem and a Lagrange-D'Alembert principle for Heavenly equations / O E Hentosh, Ya A Prykarpatsky, D Blackmore and A Prykarpatski
- Superposition formulae for nonlinear integrable equations in bilinear form / X B Hu
- Matrix solutions for equations of the AKNS system / C Schiebold
- Algebraic traveling waves for the generalized KdV-Burgers equation and the Kuramoto-Sivashinsky equation / C Valls
- Nonlocal invariance of the multipotentialisations of the Kupershmidt equation and its higher-order hierarchies / M Euler and N Euler
- Geometry of normal forms for dynamical systems / G Gaeta
- Symmetries of It^o stochastic differential equations and their applications / R Kozlov
- Statistical symmetries of turbulence / M Oberlack, M Waclawczyk and V Grebenev
- Integral transforms and ordinary differential equations of infinte order / A Chavez, H Prado and E G Reyes
- The role of nonlinearity in geostrophic ocean flows on a sphere / A Constantin and R S Johnson
- Review of results on a system of type many predators-one prey / A V Osipov and G Soderbacka
- Ermakov-type systems in nonlinear physics and continuum mechanics / C Rogers and W K Schief.