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Some new families of exact solutions to a new extension of nonlinear Schrödinger equation

Behzad Ghanbari, Hatıra Günerhan, Onur Alp İlhan, Hacı Mehmet Başkonuş

2020Physica Scripta39 citationsDOI

Abstract

Abstract Determining the exact solution to the partial differential equations has been one of the most important concerns of scientists in the various centuries. This paper applies the generalized exponential rational function method to a new extension of nonlinear Schrödinger equation. Many new analytical solutions are retrieved by choosing suitable coefficients of parameters under different family cases. Some important surfaces of results such as the imaginary part, the real part, and their modulus are also depicted with the help computational packet program. According to the results obtained in this paper, the method can be assumed to be a suitable tool in solving differential equations.

Topics & Concepts

Extension (predicate logic)Nonlinear systemExponential functionRational functionApplied mathematicsPartial differential equationNonlinear Schrödinger equationDifferential equationFirst-order partial differential equationMathematicsFunction (biology)Schrödinger equationComputer scienceMathematical analysisPhysicsQuantum mechanicsBiologyProgramming languageEvolutionary biologyNonlinear Waves and SolitonsNonlinear Photonic SystemsFractional Differential Equations Solutions
Some new families of exact solutions to a new extension of nonlinear Schrödinger equation | Litcius