Houwe, A.; Hammouch, Z.; Bienvenue, D.; Nestor, S.; Betchewe, G.; DOKA, S. Y. Nonlinear Schrödingers equations with cubic nonlinearity: M-derivative soliton solutions by $\exp(-\Phi(\xi))$-Expansion method. Preprints2019, 2019030114. https://doi.org/10.20944/preprints201903.0114.v1
APA Style
Houwe, A., Hammouch, Z., Bienvenue, D., Nestor, S., Betchewe, G., & DOKA, S. Y. (2019). Nonlinear Schrödingers equations with cubic nonlinearity: M-derivative soliton solutions by $\exp(-\Phi(\xi))$-Expansion method. Preprints. https://doi.org/10.20944/preprints201903.0114.v1
Chicago/Turabian Style
Houwe, A., Gambo Betchewe and Serge Y. DOKA. 2019 "Nonlinear Schrödingers equations with cubic nonlinearity: M-derivative soliton solutions by $\exp(-\Phi(\xi))$-Expansion method" Preprints. https://doi.org/10.20944/preprints201903.0114.v1
Abstract
This paper uses the $\exp(-\Phi(\xi))$-Expansion method to investigate solitons to the M-fractional nonlinear Schrödingers equation with cubic nonlinearity. The results obtained are dark solitons, trigonometric function solutions, hyperbolic solutions and rational solutions. Thus, the constraint relations between the model coefficients and the traveling wave frequency coefficient for the existence of solitons solutions are also derived.
Keywords
solitons; M-Fractional; integrability
Subject
Physical Sciences, Mathematical Physics
Copyright:
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