### Electronic Research Archive

2021, Issue 2: 2141-2147. doi: 10.3934/era.2020109
Special Issues

# Integrating evolution equations using Fredholm determinants

• Received: 01 January 2020 Revised: 01 August 2020 Published: 19 October 2020
• Primary:35M13, 35C15;Secondary:37K10

• 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.

Citation: Feride Tığlay. Integrating evolution equations using Fredholm determinants[J]. Electronic Research Archive, 2021, 29(2): 2141-2147. doi: 10.3934/era.2020109

### Related Papers:

• 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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