W. B. Yeats, 1865–1939

Hone, Joseph

doi:10.1007/978-1-349-20309-3

Cited by 13 publications

(4 citation statements)

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“…This begs the following question: for which solutions of the CH equation is it possible to find a corresponding Hirota function that permits the factors P , Q to be extracted explicitly? Hone [16] has suggested a partial answer to this question; namely, that it can be done for the class of algebro-geometric solutions of equation (1) that can be formulated in terms of theta functions (associated with an hyperelliptic curve of arbitrary genus). It remains to be seen whether further exact solutions of the CH equation can be found using the factorization technique presented here.…”

Section: Discussionmentioning

confidence: 99%

“…The following question arises: for which solutions of the CH equation can one obtain explicit functions ψ i or the equivalent solutions i of equation (18)? Hone [16] asserts that this is always possible for a broad class of solutions of (1) that can be expressed in terms of Riemann theta functions. For our part, the question comes down to whether we are able to perform the factorization in (19) explicitly, once r(y, t) is known.…”

Section: Factorization Proceduresmentioning

confidence: 99%

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A factorization procedure for solving the Camassa–Holm equation

Parker

2006

Inverse Problems

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Section: Discussionmentioning

confidence: 99%

Section: Factorization Proceduresmentioning

confidence: 99%

A factorization procedure for solving the Camassa–Holm equation

Parker

2006

Inverse Problems

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“…In this section we derive a Bäcklund transformation (BT) for the model under consideration, using the recently developed approach of Sklyanin [6,7]. This relies on the algebra of the local lax operator as given by (2.1).…”

Section: Bäcklund Transformationmentioning

confidence: 99%

On Bäcklund transformations and boundary conditions associated with the quantum inverse problem for a discrete nonlinear integrable system and its connection to Baxter’s $Q$-operator

Choudhury¹,

Chowdhury²

2001

Advances in Theoretical and Mathematical Physics

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A discrete nonlinear system is analysed in case of open chain boundary conditions at the ends.It is shown that the integrability of the system remains intact, by obtaining a modified set of Lax equations which automatically take care of the boundary conditions. The same Lax pair also conforms to the conditions stipulated by Sklyanin [5]. The quantum inverse problem is set up and the diagonalisation is carried out by the method of sparation of variables.Bäcklund transformations are then derived under the modified boundary conditions using the classical r-matrix . Finally by quantising the Bäcklund transformation it is possible to identify the relation satisfied by the eigenvalue of Baxter's Q-operator even for the quasi periodic situation.

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“…. ,' 26 At last we come to Miss Budington's question about 'Subjects included'. What was it Craig planned to concentrate upon?…”

Section: Daybook Imentioning

confidence: 99%

E. Gordon Craig, Director, School for the Art of the Theatre

Rood¹

1983

Theatre Research International

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In preparing this paper I wrote, among others, to David Lees, Edward Gordon Craig's photographer son. In reply to my request for help, he wrote: ‘EGG and his schoob:[the final consonant underlined in red] this plural leaves me a bit surprised, for I have always known of just one school, that being “The School for the Art of the Theatre” started at the Arena Goldoni in Florence, on March 1913.’ He goes on to refer to A Living Theatre which is primarily concerned with the School in Florence. He concludes the paragraph by writing: ‘As for the schools – in the plural – as I said in the beginning, I know of no other school beside this one’.

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W. B. Yeats, 1865–1939

Cited by 13 publications

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A factorization procedure for solving the Camassa–Holm equation

A factorization procedure for solving the Camassa–Holm equation

On Bäcklund transformations and boundary conditions associated with the quantum inverse problem for a discrete nonlinear integrable system and its connection to Baxter’s $Q$-operator

E. Gordon Craig, Director, School for the Art of the Theatre

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