An Extension of the direct Method via an Application
, 2001 The Direct Method due to Clarkson and Kruskal [9] for finding similarity reductions of partial differential equations is extended to obtain similarity reductions of nonlinear partial differential equations with arbitrary functions. The extension is
Changzheng, Qu, Mahomed, FM
core
1999], The Landau-Lifshitz equation by semidirect product reduction
, 2008 . The Landau^Lifshitz equation is derived as the reduction of a geodesic £ow on the group of maps into the rotation group. Passing the symmetries of spatial isotropy to the reduced space is an example of semidirect product reduction by stages ...
George W. Patrick
core
Symplectic Integration of Hamiltonian Wave Equations
, 1994 The numerical integration of a wide class of Hamiltonian partial differential equations by standard symplectic schemes is discussed, with a consistent, Hamiltonian approach.
Robert Mclachlan
core
A necessary and sufficient condition for the existence of an exponential attractor
Open Mathematics, 2003 Pražák Dalibor
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On Global Attraction to Stationary States for Wave Equations with Concentrated Nonlinearities. [PDF]
J Dyn Differ Equ, 2018 Kopylova E.
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Blow-up of the solution for higher-order Kirchhoff-type equations with nonlinear dissipation
Open Mathematics, 2011 Gao Qingyong, Li Fushan, Wang Yanguo
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Nonexistence of global solutions of abstract wave equations with high energies. [PDF]
J Inequal Appl, 2017 Esquivel-Avila JA.
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Blow-up of solutions for a viscoelastic equation with nonlinear damping
Open Mathematics, 2008 Zhifeng Yang
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Existence and nonexistence results for reaction-diffusion equations in product of cones
Open Mathematics, 2003 Hamidi Abdallah, Laptev Gennady
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On asymptotic stability of solitons for 2D Maxwell-Lorentz equations with spinning particle. [PDF]
Mon Hefte MathKopylova E.
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