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- Publisher
- Springer Journals
- Copyright
- Copyright © 2014 by Pleiades Publishing, Ltd.
- Subject
- Mathematics; Ordinary Differential Equations; Partial Differential Equations; Difference and Functional Equations
- ISSN
- 0012-2661
- eISSN
- 1608-3083
- DOI
- 10.1134/S0012266114020074
- Publisher site
- See Article on Publisher Site
Abstract
For the equation y (4)+2y(y 2−1) = 0, we suggest an analytic construction of kinklike solutions (solutions bounded on the entire line and having finitely many zeros) in the form of rapidly convergent series in products of exponential and trigonometric functions. We show that, to within sign and shift, kinklike solutions are uniquely characterized by the tuple of integers n 1, …, n k (the integer parts of distances, divided by π, between the successive zeros of these solutions). The positivity of the spatial entropy indicates the existence of chaotic solutions of this equation.
Journal
Differential Equations – Springer Journals
Published: Apr 5, 2014