Optical Solitons and Conservation Laws for the Concatenation Model: Undetermined Coefficients and Multipliers Approach
Anjan Biswas,
Jose Vega-Guzman,
Abdul H. Kara,
Salam Khan,
Houria Triki,
O. González-Gaxiola,
Luminita Moraru,
Puiu Lucian Georgescu
Affiliations
Anjan Biswas
Department of Mathematics and Physics, Grambling State University, Grambling, LA 71245, USA
Jose Vega-Guzman
Department of Mathematics, Lamar University, Beaumont, TX 77710, USA
Abdul H. Kara
School of Mathematics, University of the Witwatersrand, Private Bag 3, Wits, Johannesburg 2050, South Africa
Salam Khan
Department of Physics, Chemistry and Mathematics Alabama A&M University, Normal, AL 35762, USA
Houria Triki
Radiation Physics Laboratory, Department of Physics, Faculty of Sciences, Badji Mokhtar University, P.O. Box 12, Annaba 23000, Algeria
O. González-Gaxiola
Applied Mathematics and Systems Department, Universidad Autonoma Metropolitana–Cuajimalpa, Vasco de Quiroga 4871, Mexico City 05348, Mexico
Luminita Moraru
Faculty of Sciences and Environment, Department of Chemistry, Physics and Environment, Dunărea de Jos University of Galați, 47 Domneasca Street, 800008 Galați, Romania
Puiu Lucian Georgescu
Faculty of Sciences and Environment, Department of Chemistry, Physics and Environment, Dunărea de Jos University of Galați, 47 Domneasca Street, 800008 Galați, Romania
This paper retrieves an optical 1–soliton solution to a model that is written as a concatenation of the Lakshmanan–Porsezian–Daniel model and Sasa–Satsuma equation. The method of undetermined coefficients obtains a full spectrum of 1–soliton solutions. The multiplier approach yields the conserved densities, which subsequently lead to the conserved quantities from the bright 1–soliton solution.
