Multiphase similarity solutions of integrable evolution equations

Hermann Flaschka; A. C. Newell

doi:10.1016/0167-2789(81)90127-5

Multiphase similarity solutions of integrable evolution equations

Hermann Flaschka
, A. C. Newell

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Abstract

We introduce a new class of solutions to integrable nonlinear evolution equations which are thought to have a deep connection with the n-point correlation functions of exactly solvable models in statistical mechanics.

Original language	English (US)
Pages (from-to)	203-221
Number of pages	19
Journal	Physica D: Nonlinear Phenomena
Volume	3
Issue number	1-2
DOIs	https://doi.org/10.1016/0167-2789(81)90127-5
State	Published - Jul 1981
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics
Condensed Matter Physics
Applied Mathematics

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10.1016/0167-2789(81)90127-5

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title = "Multiphase similarity solutions of integrable evolution equations",

abstract = "We introduce a new class of solutions to integrable nonlinear evolution equations which are thought to have a deep connection with the n-point correlation functions of exactly solvable models in statistical mechanics.",

author = "Hermann Flaschka and Newell, \{A. C.\}",

note = "Funding Information: The authors are grateful for support by NSF grants MCS75-075h8 A01, MPS75-07530, MCS79-03533, ONR grant N0001\textasciitilde{}-76-C-0867, and U.S. Army Contract DAAG29-T8-G-0059. Funding Information: H. Flaschka thanks Prof. M. Sate, Drs. T. Miwa and M. Jimbo, and Mr. K Ueno for many stimulating discussions; these were made possible by a U.S.-Japan Cooperative Science Program grant, and by the kind hospitality of the Kyoto University RIMS in January 1978 and April 1979.",

year = "1981",

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doi = "10.1016/0167-2789(81)90127-5",

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T1 - Multiphase similarity solutions of integrable evolution equations

AU - Flaschka, Hermann

AU - Newell, A. C.

N1 - Funding Information: The authors are grateful for support by NSF grants MCS75-075h8 A01, MPS75-07530, MCS79-03533, ONR grant N0001~-76-C-0867, and U.S. Army Contract DAAG29-T8-G-0059. Funding Information: H. Flaschka thanks Prof. M. Sate, Drs. T. Miwa and M. Jimbo, and Mr. K Ueno for many stimulating discussions; these were made possible by a U.S.-Japan Cooperative Science Program grant, and by the kind hospitality of the Kyoto University RIMS in January 1978 and April 1979.

PY - 1981/7

Y1 - 1981/7

N2 - We introduce a new class of solutions to integrable nonlinear evolution equations which are thought to have a deep connection with the n-point correlation functions of exactly solvable models in statistical mechanics.

AB - We introduce a new class of solutions to integrable nonlinear evolution equations which are thought to have a deep connection with the n-point correlation functions of exactly solvable models in statistical mechanics.

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AN - SCOPUS:48249137086

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JO - Physica D: Nonlinear Phenomena

JF - Physica D: Nonlinear Phenomena

IS - 1-2

ER -

Multiphase similarity solutions of integrable evolution equations

Abstract

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