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Gibbs manifolds. [PDF]

open access: yesInf Geom
Pavlov D, Sturmfels B, Telen S.
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The Dynamics of Lump, Lumpoff and Rogue Wave Solutions of (2+1)-Dimensional Hirota-Satsuma-Ito Equations

, 2020
The Hirota-Satsuma-Ito equation in (2+1)-dimensions is studied and a new general representation of lump solutions is derived. If the lump soliton is generated by an exponentially localised line soliton, we obtain a lumpoff solution. On the other hand, if
Ling-Di Zhang
semanticscholar   +1 more source

Novel Interaction Phenomena of Localised Waves in the (2 + 1)-Dimensional HSI Equation

, 2020
Localised interaction solutions of the (2+1)-dimensional generalised HirotaSatsuma-Ito equation are studied. Using the Hirota bilinear form and Maple symbolic computations, we generate three classes of lump solutions.
Hongcai Ma
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Solitary Wave and Quasi-Periodic Wave Solutions to a (3+1)-Dimensional Generalized Calogero-Bogoyavlenskii-Schiff Equation

Advances in Applied Mathematics and Mechanics, 2018
A (3+1)-dimensional generalized Calogero-Bogoyavlenskii-Schiff equation is considered, which can be used to describe many nonlinear phenomena in plasma physics. By virtue of binary Bell polynomials, a bilinear representation of the equation is succinctly
C. Qin
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Dynamics of Solitary Waves and Periodic Waves in a (3 + 1)-Dimensional Nonlinear Evolution Equation

East Asian Journal on Applied Mathematics, 2018
The Hirota bilinear method is applied to a generalised (3 + 1)-dimensional nonlinear evolution equation. Using the Riemann theta function, we construct periodic wave solutions of the Eq. (1.1) and discuss their properties.
Xiu-Bin Wang
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Parallel Homotopy Algorithms to Solve Polynomial Systems

International Congress on Mathematical Software, 2006
A. Leykin, J. Verschelde, Zhuang Yan
semanticscholar   +1 more source

What can Symbolic Computation Contribute to Mathematics?

2011 13th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing, 2011
F. Winkler
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