A New Integrable Equation Constructed via Combining the Recursion Operator of the Calogero-Bogoyavlenskii- Schiff (CBS) Equation and its Inverse Operator

Authors

Abdul-Majid Wazwaz, Department of Mathematics, Saint Xavier University, Chicago, IL USA 60655Follow

Author Country (or Countries)

USA

Abstract

In this work we construct a new integrable equation via combining the recursion operator of the Calogero-Bogoyavlenskii- Schiff (CBS) equation and its inverse recursion operator. We show that this equation nicely passes the Painlev´e property to emphasize its complete integrability. We formally derive multiple soliton solutions by using the simplified Hirota’s direct method. We also use other techniques to obtain more solutions of distinct physical structures.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/110501

Recommended Citation

Wazwaz, Abdul-Majid (2017) "A New Integrable Equation Constructed via Combining the Recursion Operator of the Calogero-Bogoyavlenskii- Schiff (CBS) Equation and its Inverse Operator," Applied Mathematics & Information Sciences: Vol. 11: Iss. 5, Article 1.
DOI: http://dx.doi.org/10.18576/amis/110501
Available at: https://digitalcommons.aaru.edu.jo/amis/vol11/iss5/1