Finding Eigenvalue Problems for Solving Nonlinear Evolution Equations | Zendy

D. J. Kaup | Zendy

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Finding Eigenvalue Problems for Solving Nonlinear Evolution Equations

Author(s) -

D. J. Kaup

Publication year - 1975

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp.54.72

Subject(s) - physics , eigenvalues and eigenvectors , nonlinear system , operator (biology) , limit (mathematics) , inverse scattering problem , mathematics , evolution equation , class (philosophy) , time evolution , mathematical analysis , inverse scattering transform , scattering , quantum mechanics , computer science , biochemistry , chemistry , repressor , artificial intelligence , transcription factor , gene

The problem of determining what nonlinear evolution equations are exactly solvable by inverse scatte;ing techniques is simplified by considering a linear limit. By linearizing a given eigenvalue problem and. the associated time evolution operator, it .. is possible to determine the class of linearized dispersion relation (s) of the exactly solvable nonlinear evolution equations. Examples are given to illustrate the method.·

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