Periodic and rogue waves for Heisenberg models of ferromagnetic spin chains with fractional beta derivative evolution and obliqueness

Optical solitons solution of resonance nonlinear Schrödinger type equation with Atangana's-conformable derivative using sub-equation method

(2019) H. Yépez-Martínez et al.   Waves in Random and Complex Media

N-solitons, breathers, lumps and rogue wave solutions to a (3+1)-dimensional nonlinear evolution equation

(2018) Yunfei Yue et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Three-Dimensional Weakly Nonlinear Shallow Water Waves Regime and its Traveling Wave Solutions

(2018) Aly R. Seadawy   International Journal of Computational Methods

Some new exact solutions of (2+1)-dimensional nonlinear Heisenberg ferromagnetic spin chain with the conformable time fractional derivative

(2018) M. S. Hashemi   OPTICAL AND QUANTUM ELECTRONICS

Beta-derivative and sub-equation method applied to the optical solitons in medium with parabolic law nonlinearity and higher order dispersion

(2018) H. Yépez-Martínez et al.   OPTIK

Mitigating Internet bottleneck with fractional temporal evolution of optical solitons having quadratic–cubic nonlinearity

(2018) Hadi Rezazadeh et al.   OPTIK

Fractional sub-equation method for Hirota–Satsuma-coupled KdV equation and coupled mKdV equation using the Atangana’s conformable derivative

(2018) H. Yépez-Martínez et al.   Waves in Random and Complex Media

New soliton solution to the longitudinal wave equation in a magneto-electro-elastic circular rod

(2018) Aly R. Seadawy et al.   Results in Physics

Dispersive solitary wave solutions of Kadomtsev-Petviashvili and modified Kadomtsev-Petviashvili dynamical equations in unmagnetized dust plasma

(2018) A.R. Seadawy et al.   Results in Physics

On the solutions of fractional-time wave equation with memory effect involving operators with regular kernel

(2018) B. Cuahutenango-Barro et al.   CHAOS SOLITONS & FRACTALS

Nonlinear time fractional Korteweg-de Vries equations for the interaction of wave phenomena in fluid-filled elastic tubes

(2018) F. Ferdous et al.   European Physical Journal Plus

Lax pair, Darboux transformation and Nth-order rogue wave solutions for a (2+1)-dimensional Heisenberg ferromagnetic spin chain equation

(2018) Bang-Qing Li et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Oblique resonant optical solitons with Kerr and parabolic law nonlinearities and fractional temporal evolution by generalized exp(−Φ(ξ))-expansion

(2018) F. Ferdous et al.   OPTIK

Solving the $$\mathbf{(3+1) }$$ ( 3 + 1 ) -dimensional KP–Boussinesq and BKP–Boussinesq equations by the simplified Hirota’s method

(2017) Abdul-Majid Wazwaz et al.   NONLINEAR DYNAMICS

Optical solitons with complex Ginzburg–Landau equation by modified simple equation method

(2017) Ahmed H. Arnous et al.   OPTIK

Optical solitons and modulation instability analysis of an integrable model of (2+1)-Dimensional Heisenberg ferromagnetic spin chain equation

(2017) Mustafa Inc et al.   SUPERLATTICES AND MICROSTRUCTURES

Dark, bright and other soliton solutions to the Heisenberg ferromagnetic spin chain equation

(2017) Hasan Bulut et al.   SUPERLATTICES AND MICROSTRUCTURES

A new fractional model for giving up smoking dynamics

(2017) Jagdev Singh et al.   Advances in Difference Equations

Two-dimensional interaction of a shear flow with a free surface in a stratified fluid and its solitary-wave solutions via mathematical methods

(2017) Aly R. Seadawy   European Physical Journal Plus

Mathematical methods and solitary wave solutions of three-dimensional Zakharov-Kuznetsov-Burgers equation in dusty plasma and its applications

(2017) Abdullah et al.   Results in Physics

Atangana-Baleanu fractional derivative applied to electromagnetic waves in dielectric media

(2016) J. F. Gómez-Aguilar et al.   JOURNAL OF ELECTROMAGNETIC WAVES AND APPLICATIONS

Dark solitons interaction for a (2+1)-dimensional nonlinear Schrödinger equation in the Heisenberg ferromagnetic spin chain

(2016) Xue-Hui Zhao et al.   SUPERLATTICES AND MICROSTRUCTURES

New fractional derivatives with nonlocal and non-singular kernel: Theory and application to heat transfer model

(2016) Abdon Atangana et al.   Thermal Science

The nonlinear dispersive Davey-Stewartson system for surface waves propagation in shallow water and its stability

(2016) Ehab S. Selima et al.   European Physical Journal Plus

Analysis of time-fractional hunter-saxton equation: a model of neumatic liquid crystal

(2016) Abdon Atangana et al.   Open Physics

A new definition of fractional derivative

(2014) R. Khalil et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

An integrable model of (2+1)-dimensional Heisenberg ferromagnetic spin chain and soliton excitations

(2014) M M Latha et al.   PHYSICA SCRIPTA

A Note on Fractional Order Derivatives and Table of Fractional Derivatives of Some Special Functions

(2013) Abdon Atangana et al.   Abstract and Applied Analysis

Exact Solutions of Nonlinear Evolution Equations in Mathematical Physics Using the Modified Simple Equation Method

(2012) E. M. E. Zayed et al.   CHINESE PHYSICS LETTERS

Modified simple equation method for nonlinear evolution equations

(2010) Anwar Ja’afar Mohamad Jawad et al.   APPLIED MATHEMATICS AND COMPUTATION

The ()-expansion method and travelling wave solutions of nonlinear evolution equations in mathematical physics

(2007) Mingliang Wang et al.   PHYSICS LETTERS A