A COMPARATIVE ANALYSIS REPORT ON THE MULTI-WAVE FRACTIONAL HIROTA EQUATION IN NONLINEAR DISPERSIVE MEDIA
DOI10.1142/S0218348X22402265OpenAlexW4291321636WikidataQ113777008 ScholiaQ113777008MaRDI QIDQ5880664
Maryam Aleem, Xiangjun Gao, Mohammad Mahtab Alam, Adil Jhangeer, Waqas Ali Faridi, Muhammad Imran
Publication date: 6 March 2023
Published in: Fractals (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0218348x22402265
fractional derivativessoliton solutionstraveling wave transformationnew auxiliary equation methodmulti-wave nonlinear Hirota equation
Fractional derivatives and integrals (26A33) Analyticity in context of PDEs (35A20) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Lasers, masers, optical bistability, nonlinear optics (78A60) Soliton solutions (35C08) Fractional partial differential equations (35R11) Trigonometric solutions to PDEs (35C09)
Cites Work
- Unnamed Item
- Unnamed Item
- Darboux transformation and rogue wave solutions for the variable-coefficients coupled Hirota equations
- Hirota equation as an example of an integrable symplectic map
- A Caputo fractional derivative of a function with respect to another function
- Retraction notice to: ``New numerical method for ordinary differential equations: Newton polynomial
- The use of improved-F expansion method for the time-fractional Benjamin-Ono equation
- Analytical solutions for the \((3+1)\)-dimensional nonlinear extended quantum Zakharov-Kuznetsov equation in plasma physics
- A new definition of fractional derivative
- A hybrid computational approach for Klein-Gordon equations on Cantor sets
- Modified Riemann-Liouville derivative and fractional Taylor series of nondifferentiable. functions. Further results
- Fractal solitons, arbitrary function solutions, exact periodic wave and breathers for a nonlinear partial differential equation by using bilinear neural network method
- Multiphase Weakly Nonlinear Geometric Optics for Schrödinger Equations
- Solitary wave solutions of nonlinear wave equations
- Backward bifurcation and oscillations in a nested immuno-eco-epidemiological model
- New solitons for the Hirota equation and generalized higher-order nonlinear Schrödinger equation with variable coefficients
- Soliton Solutions for a Generalized Inhomogeneous Variable-Coefficient Hirota Equation with Symbolic Computation
- A new truncated $M$-fractional derivative type unifying some fractional derivative types with classical properties
- NUMERICAL SOLUTION OF TRAVELING WAVES IN CHEMICAL KINETICS: TIME-FRACTIONAL FISHERS EQUATIONS
- THE COMPARATIVE REPORT ON DYNAMICAL ANALYSIS ABOUT FRACTIONAL NONLINEAR DRINFELD–SOKOLOV–WILSON SYSTEM
- NUMERICAL INVESTIGATION OF THE NONLINEAR FRACTIONAL OSTROVSKY EQUATION
- Exact envelope-soliton solutions of a nonlinear wave equation
This page was built for publication: A COMPARATIVE ANALYSIS REPORT ON THE MULTI-WAVE FRACTIONAL HIROTA EQUATION IN NONLINEAR DISPERSIVE MEDIA
