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Lax hierarchy, Solitons, Sumrules and a ...

Sukumar, C. V....

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Lax hierarchy, Solitons, Sumrules and a dual Lax hierarchy by Sukumar, C. V. ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	27-07-2023
Summary	It is shown that a set of functions which characterise the Lax hierarchy of non-linear equations may be represented in terms of the eigenstates of the potential which satisfies the generalised KdV equation. Such a representation leads to sumrules relating integrals involving the soliton potential and its various derivatives to sums involving the boundstate eigenvalues of the Schroedinger equation for the reflectionless potential. A new hierarchy of functions, which is in a sense dual to the Lax hierarchy, is identified. It is shown that time dependent equations involving the dual functions may be established which permit solutions related to an N-soliton structure similar to that for the Lax hierarchy but with a different 'speed' for the solitons.
ISBN	-
Item Type	Article
File Type	pdf
File Size	29.34 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1206.5978

Citation

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AMA 11th EditionReferences

Sukumar, C. V.. Lax hierarchy, Solitons, Sumrules and a dual Lax hierarchy. Australian National University. July 27, 2023. Accessed August 08, 2025. https://online.provdatabase.com/cite/5498

APA 7th EditionReferences

Sukumar, C. V.. (2023). Lax hierarchy, Solitons, Sumrules and a dual Lax hierarchy. Australian National University. https://online.provdatabase.com/cite/5498

Chicago 17th EditionReferences

Sukumar, C. V.. Lax hierarchy, Solitons, Sumrules and a dual Lax hierarchy. Australian National University. 2023. https://online.provdatabase.com/cite/5498

HarvardReferences

Sukumar, C. V.. (2023). Lax hierarchy, Solitons, Sumrules and a dual Lax hierarchy. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/5498. (Accessed 08 August 2025).

Harvard AustraliaReferences

Sukumar, C. V., 2023, Lax hierarchy, Solitons, Sumrules and a dual Lax hierarchy, Australian National University, viewed 08 August 2025, <https://online.provdatabase.com/cite/5498>

MLA 9th EditionWorks Cited

Sukumar, C. V.. Lax hierarchy, Solitons, Sumrules and a dual Lax hierarchy. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/5498.

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