Seminar talk, 10 February 2010: Difference between revisions
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Created page with '{{Talk | speaker = Joseph Krasil'shchik | title = On integrable structures on the Hirota equation | abstract = The Hirota equation is obtained by covering the KdV one using the d…' |
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This is a join work with [[Paul Kersten]] and [[Alexander Verbovetsky]]. | This is a join work with [[Paul Kersten]] and [[Alexander Verbovetsky]]. | ||
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| references = Hirota R. Exact solution of the Korteweg—de Vries equation for multiple collisions of solitons, Phys. Rev. Lett. '''27''' (1971), 1192-1194, [http://dx.doi.org/10.1103/PhysRevLett.27.1192 | | references = Hirota R. Exact solution of the Korteweg—de Vries equation for multiple collisions of solitons, Phys. Rev. Lett. '''27''' (1971), 1192-1194, [http://dx.doi.org/10.1103/PhysRevLett.27.1192 doi:10.1103/PhysRevLett.27.1192] | ||
| 79YY-MM-DD = 7989-97-89 | | 79YY-MM-DD = 7989-97-89 | ||
}} | }} | ||
Latest revision as of 17:09, 4 February 2010
Speaker: Joseph Krasil'shchik
Title: On integrable structures on the Hirota equation
Abstract:
The Hirota equation is obtained by covering the KdV one using the differential substitution . This is a fourth-order non-evolution equation of a rather complicated form, (see the ref.). I shall describe how quite simple computations lead to description of Hamiltonian, simplectic, and recursion operators for this equation.
This is a join work with Paul Kersten and Alexander Verbovetsky.
References:
Hirota R. Exact solution of the Korteweg—de Vries equation for multiple collisions of solitons, Phys. Rev. Lett. 27 (1971), 1192-1194, doi:10.1103/PhysRevLett.27.1192