Conservation laws for optical solitons with spatio-temporal dispersion

Michelle SavescuDepartment of Mathematical Sciences, Delaware State University, Dover, DE 19901-2277, USA.;Department of Mathematics, Kuztown University of Pennsylvania, 5200 Kutztown Road, Kuztown, PA-19530, USA.

Stephen JohnsonDepartment of Mathematical Sciences, Delaware State University, Dover, DE 19901-2277, USA.;Lake Forest High School, Felton, DE 19943USA.

Abdul H. KaraSchool of Mathematics, Centre for Differential Equations, Continuum Mechanics and Applications, University of the Witwatersrand, Johannesburg, Wits 2050, South Africa.

Sihon H. CrutcherUS Army Research, Development and Engineering Command, Building 5400, Redstone Arsenal, AL 35898-5000, USA.

Russell KohlDepartment of Mathematics and Computer Science, University of Maryland Eastern Shore, Princess Anne, MD-21853, USA.

Anjan BiswasDepartment of Mathematical Sciences, Delaware State University, Dover, DE 19901-2277, USA.;Faculty of Sciences, Department of Mathematics, King Abdulaziz University, Jeddah-21589, Saudi Arabia.Correspondence[email protected]
[email protected]

Abstract

The conservation laws for optical solitons with spatio-temporal dispersion are obtained in this paper. There are three conserved quantities that are reported in this paper. They are the power, linear momentum, and the Hamiltonian. The conserved quantities, from their respective densities, are obtained from 1-soliton solution that was reported earlier. Five types of nonlinear media are taken into account.

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Conservation laws for optical solitons with spatio-temporal dispersion

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