Analysis of analytical solutions of fractional Date-Jimbo-Kashiwara-Miwa equation

On the optical soliton solutions of time-fractional Biswas–Arshed equation including the beta or M-truncated derivatives

(2023) Melih Cinar et al.   OPTICAL AND QUANTUM ELECTRONICS

Bilinear method and semi-inverse variational principle approach to the generalized (2+1)-dimensional shallow water wave equation

(2023) Yongyi Gu et al.   Results in Physics

Multiple soliton, M-lump and interaction solutions to the (3+1)-dimensional soliton equation

(2023) Hajar F. Ismael et al.   Results in Physics

On the Solutions of the Fractional-Order Sawada–Kotera–Ito Equation and Modeling Nonlinear Structures in Fluid Mediums

(2023) Humaira Yasmin et al.   Symmetry-Basel

Stationary optical solitons with Kudryashov’s quintuple power law nonlinearity by extended Jacobi’s elliptic function expansion

(2022) Mehmet Ekici   JOURNAL OF NONLINEAR OPTICAL PHYSICS & MATERIALS

N-double poles solutions for nonlocal Hirota equation with nonzero boundary conditions using Riemann–Hilbert method and PINN algorithm

(2022) Wei-Qi Peng et al.   PHYSICA D-NONLINEAR PHENOMENA

Transcendental surface wave to the symmetric regularized long-wave equation

(2022) Kaniz Fatema et al.   PHYSICS LETTERS A

Abundant solitary wave solutions for space-time fractional unstable nonlinear Schrödinger equations and their applications

(2022) Ambreen Sarwar et al.   Ain Shams Engineering Journal

Exact solutions of nonlinear dynamics of microtubules equation using the methods of first integral and (G′ G ) expansion

(2022) Mahima Poonia et al.   Asian-European Journal of Mathematics

Dynamics of optical pulses in dual-core optical fibers modelled by decoupled nonlinear Schrodinger equation via GERF and NEDA techniques

(2022) Usman Younas et al.   OPTICAL AND QUANTUM ELECTRONICS

Invariant optical soliton solutions to the Coupled-Higgs equation

(2022) Sibel S. Atas et al.   OPTICAL AND QUANTUM ELECTRONICS

On the collision phenomena to the $$(3+1)$$-dimensional generalized nonlinear evolution equation: Applications in the shallow water waves

(2022) Usman Younas et al.   European Physical Journal Plus

Probabilistic solutions of fractional differential and partial differential equations and their Monte Carlo simulations

(2022) T. Oraby et al.   CHAOS SOLITONS & FRACTALS

Jacobian-elliptic-function and rogue-periodic-wave solutions of a high-order nonlinear Schrödinger equation in an inhomogeneous optical fiber

(2022) Cheng-Cheng Wei et al.   CHINESE JOURNAL OF PHYSICS

Multi-solutions with specific geometrical wave structures to a nonlinear evolution equation in the presence of the linear superposition principle

(2022) Hajar F Ismael et al.   COMMUNICATIONS IN THEORETICAL PHYSICS

The generalized higher-order nonlinear Schrödinger equation: Optical solitons and other solutions in fiber optics

(2022) Usman Younas et al.   INTERNATIONAL JOURNAL OF MODERN PHYSICS B

Lie symmetry analysis, optimal system and exact solutions for variable-coefficients (2 + 1)-dimensional dissipative long-wave system

(2022) Xinying Yan et al.   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Sensitive visualization of the fractional wazwaz-benjamin-bona-mahony equation with fractional derivatives: A comparative analysis

(2021) Nauman Raza et al.   Results in Physics

Dynamical Behavior of Fractional Chen-Lee-Liu Equation in Optical Fibers with Beta Derivatives

(2020) Amjad Hussain et al.   Results in Physics

A Variety of Novel Exact Solutions for Different Models With the Conformable Derivative in Shallow Water

(2020) Dipankar Kumar et al.   Frontiers in Physics

Grammian solutions for a (2+1)-dimensional integrable coupled modified Date–Jimbo–Kashiwara–Miwa equation

(2019) Sheng-Nan Wang et al.   MODERN PHYSICS LETTERS B

Interaction solutions between lump and stripe soliton to the (2+1)-dimensional Date–Jimbo–Kashiwara–Miwa equation

(2019) Fan Guo et al.   NONLINEAR DYNAMICS

Optical soliton solutions for a space-time fractional perturbed nonlinear Schrödinger equation arising in quantum physics

(2019) M.A .Abdou et al.   Results in Physics

High-accuracy power series solutions with arbitrarily large radius of convergence for the fractional nonlinear Schrödinger-type equations

(2018) U Al Khawaja et al.   Journal of Physics A-Mathematical and Theoretical

Chaos in a simple nonlinear system with Atangana–Baleanu derivatives with fractional order

(2016) Abdon Atangana et al.   CHAOS SOLITONS & FRACTALS

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

(2016) Abdon Atangana et al.   Thermal Science

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

(2016) Abdon Atangana et al.   Open Physics

Novel techniques in parameter estimation for fractional dynamical models arising from biological systems

(2011) F. Liu et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

A new auxiliary equation method for finding travelling wave solutions to KdV equation

(2010) Jing Pang et al.   APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION

Fractional Fourier transform as a signal processing tool: An overview of recent developments

(2010) Ervin Sejdić et al.   SIGNAL PROCESSING

A new auxiliary equation method and its application to the Sharma–Tasso–Olver model

(2009) Jun-ting Pan et al.   PHYSICS LETTERS A