Journal
JOURNAL OF KING SAUD UNIVERSITY SCIENCE
Volume 33, Issue 1, Pages -Publisher
ELSEVIER
DOI: 10.1016/j.jksus.2020.09.007
Keywords
Schrodinger's equation; Bifurcation theory; Conservation laws
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This paper analyzes the exact solutions of the resonant non-linear Schrodinger's equation (R-NLSE) with Kerr law non-linearity using a new extended direct algebraic technique. The secured soliton erections are innovative and exciting for researchers. The report includes graphical representations of specific solutions and bifurcation analysis to identify the bifurcation structures of nonlinear and super nonlinear traveling wave solutions, as well as enumerating conserved quantities with the multiplier approach.
This paper anatomizes the exact solutions of the resonant non-linear Schrodinger's equation (R-NLSE) with the Kerr law non-linearity with the assistance of the new extended direct algebraic technique. The secured soliton erections are newfangled and unreservedly invigorating for investigators. The graphically comprehensive report of some specific solutions is embellished with the well-judged values of parameters to illustrate their propagation. Then a planer dynamical system is introduced and the bifurcation analysis has been executed to figure out the bifurcation structures of the non-linear and super non-linear traveling wave solutions of the heeded model. All possible phase portraits are exhibited with specific values of parameters. Furthermore, a precise class of non-trivial and first-order conserved quantities is enumerated by the intervention of the multiplier approach. (C) 2020 The Author(s). Published by Elsevier B.V. on behalf of King Saud University.
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