Abstract
The Milne equation is used as the auxiliary equation instead of the usual Schrodinger equation, when the almost periodic solutions of the KdV hierarchy are looked for. Its almost periodic solution is found for the finite band (gap) potential and its time dependence is determined in the general case, provided the potential satisfies the KdV equations. Further investigated problems are: trace formulas and their applications, the Bloch functions, conserved quantities, the Poisson brackets and the Hamiltonian system.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
