Zobrazeno 1 - 3
of 3
pro vyhledávání: '"Barnes, Lucy E."'
Autor:
Barnes, Lucy E., Hone, Andrew N. W.
The $b$-family is a one-parameter family of Hamiltonian partial differential equations of non-evolutionary type, which arises in shallow water wave theory. It admits a variety of solutions, including the celebrated peakons, which are weak solutions i
Externí odkaz:
http://arxiv.org/abs/2201.00265
Autor:
Barnes, Lucy E., Hone, Andrew N. W.
We consider a two-component Hamiltonian system of partial differential equations with quadratic nonlinearities introduced by Popowicz, which has the form of a coupling between the Camassa-Holm and Degasperis-Procesi equations. Despite having reductio
Externí odkaz:
http://arxiv.org/abs/1808.08742
Autor:
Barnes, Lucy E.
This thesis explores a number of nonlinear PDEs that have peaked soliton solutions, to apply reductions to such PDEs and solve the resultant equations. Chapter 1 provides a brief history of peakon equations, where they come from and the different vie
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=core_ac_uk__::cf3f8312821bf061438a147519746776
https://kar.kent.ac.uk/79691/1/107phdthesis.pdf
https://kar.kent.ac.uk/79691/1/107phdthesis.pdf