Soliton solutions of conformable time-fractional perturbed Radhakrishnan-Kundu-Lakshmanan equation

In this paper, our main purpose is to study the soliton solutions of conformable time-fractional perturbed Radhakrishnan-Kundu-Lakshmanan equation. New soliton solutions have been obtained by the extended $ (G'/G) $-expansion method, first integral method and complete discrimination system for the polynomial method, respectively. The solutions we obtained mainly include hyperbolic function solutions, solitary wave solutions, Jacobi elliptic function solutions, trigonometric function solutions and rational function solutions. Moreover, we draw its three-dimensional graph.

[1]  A. Seadawy,et al.  Dispersive optical solitons along with integrability test and one soliton transformation for saturable cubic-quintic nonlinear media with nonlinear dispersion , 2022, Journal of Geometry and Physics.

[2]  A. Seadawy,et al.  New dispersive optical soliton for an nonlinear Schrödinger equation with Kudryashov law of refractive index along with P-test , 2022, Optical and Quantum Electronics.

[3]  A. Seadawy,et al.  Applications of the Resonanat nonlinear Schrödinger equation with self steeping phenomena for chirped periodic waves , 2022, Optical and Quantum Electronics.

[4]  Karim Ali,et al.  Multiple lump and rogue wave for time fractional resonant nonlinear Schrödinger equation under parabolic law with weak nonlocal nonlinearity , 2022, Optical and Quantum Electronics.

[5]  Karim Ali,et al.  Various forms of lumps and interaction solutions to generalized Vakhnenko Parkes equation arising from high-frequency wave propagation in electromagnetic physics , 2022, Journal of Geometry and Physics.

[6]  Karim Ali,et al.  Multiple lump and interaction solutions for fifth-order variable coefficient nonlinear-Schrödinger dynamical equation , 2022, Optical and Quantum Electronics.

[7]  A. Seadawy,et al.  Dispersive dromions, conserved densities and fluxes with integrability via P-test for couple of nonlinear dynamical system , 2022, Results in Physics.

[8]  A. Seadawy,et al.  Solitary wave solutions along with Painleve analysis for the Ablowitz–Kaup–Newell–Segur water waves equation , 2021, Modern Physics Letters B.

[9]  T. Han,et al.  Bifurcation and new exact traveling wave solutions to time-space coupled fractional nonlinear Schrödinger equation , 2021 .

[10]  A. Seadawy,et al.  A model of solitary waves in a nonlinear elastic circular rod: Abundant different type exact solutions and conservation laws , 2021 .

[11]  N. Ullah,et al.  Optical solitons of Biswas-Arshed equation in birefringent fibers using extended direct algebraic method , 2021 .

[12]  S. Ray,et al.  Dispersive optical solitons of time-fractional Schrödinger–Hirota equation in nonlinear optical fibers , 2020 .

[13]  T. Sulaiman,et al.  The solitary wave solutions to the fractional Radhakrishnan–Kundu–Lakshmanan model , 2019 .

[14]  Aly R. Seadawy,et al.  Analytical wave solutions of the (2 + 1)-dimensional first integro-differential Kadomtsev-Petviashivili hierarchy equation by using modified mathematical methods , 2019 .

[15]  N. Ullah,et al.  Highly dispersive optical solitons using Kudryashov's method , 2019 .

[16]  A. Biswas,et al.  Painlevé Analysis and a Solution to the Traveling Wave Reduction of the Radhakrishnan — Kundu — Lakshmanan Equation , 2019, Regular and Chaotic Dynamics.

[17]  H. Rezazadeh,et al.  New Optical Soliton Solutions of the Perturbed Fokas-Lenells Equation , 2019, Communications in Theoretical Physics.

[18]  B. Ghanbari,et al.  The generalized exponential rational function method for Radhakrishnan-Kundu-Lakshmanan equation with β-conformable time derivative , 2019, Revista Mexicana de Física.

[19]  M. Inç,et al.  Exact optical solitons of Radhakrishnan–Kundu–Lakshmanan equation with Kerr law nonlinearity , 2019, Modern Physics Letters B.

[20]  A. Biswas,et al.  Optical solitons with Radhakrishnan–Kundu–Lakshmanan equation by Laplace–Adomian decomposition method , 2019, Optik.

[21]  N. Raza,et al.  Dynamics of optical solitons with Radhakrishnan–Kundu–Lakshmanan model via two reliable integration schemes , 2019, Optik.

[22]  Sibel Sehriban Atas,et al.  Optical solitons to the fractional perturbed Radhakrishnan–Kundu–Lakshmanan model , 2018, Optical and Quantum Electronics.

[23]  M. Khater,et al.  Dispersive optical soliton solutions of the generalized Radhakrishnan–Kundu–Lakshmanan dynamical equation with power law nonlinearity and its applications , 2018, Optik.

[24]  M. Belić,et al.  Optical soliton perturbation for Radhakrishnan–Kundu–Lakshmanan equation with a couple of integration schemes , 2018, Optik.

[25]  Dipankar Kumar,et al.  Dispersive optical soliton solutions for the hyperbolic and cubic-quintic nonlinear Schrödinger equations via the extended sinh-Gordon equation expansion method , 2018 .

[26]  Hai-Qiang Zhang,et al.  Darboux transformation and dark soliton solution for the defocusing Sasa-Satsuma equation , 2017, Appl. Math. Lett..

[27]  Bulent Kilic.  Optical solitons for the Schrödinger-Hirota equation with power law nonlinearity by the Bäcklund transformation , 2017 .

[28]  M. Belić,et al.  Dispersive optical solitons with Schrödinger–Hirota equation by extended trial equation method , 2017 .

[29]  Salam Subhaschandra Singh.  Solutions of Kudryashov - Sinelshchikov equation and generalized Radhakrishnan-Kundu-Lakshmanan equation by the first integral method , 2016 .

[30]  Jianming Zhang,et al.  Bifurcations of exact travelling wave solutions for the generalized R-K-L equation , 2016 .

[31]  Anjan Biswas,et al.  Optical solitons for the resonant nonlinear Schrödinger's equation with time-dependent coefficients by the first integral method , 2014 .