Integrating evolution equations using Fredholm determinants

Tığlay Feride

doi:10.3934/era.2020109

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2021, Volume 29, Issue 2: 2141-2147. Doi: 10.3934/era.2020109

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Integrating evolution equations using Fredholm determinants

Tığlay Feride^,

Ohio State University, Newark, 1179 University Drive, Newark, OH 43055, USA

^* Corresponding author: Feride Tığlay
^* Corresponding author: Feride Tığlay

Received: December 31, 2019

Revised: July 31, 2020

Early access: October 2020

Published: September 2020

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Abstract

We outline the construction of special functions in terms of Fredholm determinants to solve boundary value problems of the string spectral problem. Our motivation is that the string spectral problem is related to the spectral equations in Lax pairs of at least three nonlinear evolution equations from mathematical physics.

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Mathematics Subject Classification: Primary:35M13, 35C15;Secondary:37K10.

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References

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