Journal ArticleDOI
New wave form solutions of nonlinear conformable time-fractional Zoomeron equation in (2 + 1)-dimensions
TLDR
In this article, the nonlinear conformable time-fractional Zoomeron equation in (2 + 1)-dimensions is investigated, which is a model to display the novel phenomena associated with boomer...Abstract:
Under investigation in the current paper is the nonlinear conformable time-fractional Zoomeron equation in (2 + 1)-dimensions, which is a model to display the novel phenomena associated with boomer...read more
Citations
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The geophysical KdV equation: its solitons, complexiton, and conservation laws
Kamyar Hosseini,Arzu Akbulut,Dimutru Baleanu,Sahebeh Salahshour,Mohammad Mirzazadeh,Lanre Akinyemi +5 more
Journal ArticleDOI
Construction of new exact solutions of the resonant fractional NLS equation with the extended Fan sub-equation method
TL;DR: In this paper, a set of novel solutions concerning the resonant fractional nonlinear Schrodinger equation (R-FNLSE) with quadratic-cubic nonlinearity by employing the extended FAN sub-equation approach is presented.
Journal ArticleDOI
An investigation of the physical dynamics of a traveling wave solution called a bright soliton
Journal ArticleDOI
New solutions for the unstable nonlinear Schrödinger equation arising in natural science
TL;DR: In this article, three mathematical methods are applied, namely, exp(-φ(ξ))expansion method, the sine-cosine technique and the Riccati-Bernoulli sub-ODE method for constructing many new exact solutions of the unstable nonlinear Schrodinger equation.
Journal ArticleDOI
Optical solutions and conservation laws of the Chen–Lee–Liu equation with Kudryashov's refractive index via two integrable techniques
TL;DR: In this article , the authors applied the enhanced Kudryashov's and improved extended tanh-function techniques to obtain optical solutions to the perturbed Chen-Lee-Liu equation.
References
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Journal ArticleDOI
A new definition of fractional derivative
TL;DR: A new definition of fractional derivative and fractional integral is given and it is shown that it is the most natural definition, and the most fruitful one.
Journal ArticleDOI
One method for finding exact solutions of nonlinear differential equations
TL;DR: In this article, a method for finding exact solutions of nonlinear differential equations is considered and modifications of the method are discussed, showing that the method is one of the most effective approaches for solving nonlinear problems.
Journal ArticleDOI
The first integral method for Wu---Zhang system with conformable time-fractional derivative
Mostafa Eslami,Hadi Rezazadeh +1 more
TL;DR: In this article, the first integral method was used to construct exact solutions of the Wu-Zhang system, which is based on the ring theory of commutative algebra, and the results obtained confirm that the proposed method is an efficient technique for analytic treatment of a wide variety of nonlinear conformable time-fractional partial differential equations.
Journal ArticleDOI
New exact solutions of Burgers’ type equations with conformable derivative
TL;DR: In this paper, the exact solutions for some nonlinear partial differential equations are obtained within the newly established conformable derivative of the Burgers-Korteweg-de Vries equation.
Journal ArticleDOI
New exact solutions of nonlinear conformable time-fractional Boussinesq equations using the modified Kudryashov method
Kamyar Hosseini,Reza Ansari +1 more
TL;DR: In this paper, the modified Kudryashov method was used to derive exact solutions for nonlinear Boussinesq equations with conformable time-fractional derivative.