Abstract
We consider an extension of the Hénon–HeilesHamiltonian to include higher order nonlinear as well as couplingterms which are relevant for coupled nonlinear wave propagations. Itis shown that the resulting Hamiltonian, in its generic form, isintegrable for two regimes in the parameter space. The second integralof motion in each case is explicitly obtained. Exact localizedsolutions of the relevant governing equations for the coupled wavescorresponding to the two integrable cases of the generic Hamiltonianare also given.
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.
