Lie symmetry and exact solution of the time-fractional Hirota-Satsuma Korteweg-de Vries system
DOI10.1134/S106192082103002XzbMath1477.35227OpenAlexW3200229406MaRDI QIDQ2239356
Hemanta Mandal, B. Bira, Hari M. Srivastava
Publication date: 3 November 2021
Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s106192082103002x
Lie group analysisRiemann-Liouville fractional calculusErdélyi-Kober fractional calculusHirota-Satsuma Korteweg-de Vries system
KdV equations (Korteweg-de Vries equations) (35Q53) Fractional derivatives and integrals (26A33) Applications of Lie groups to the sciences; explicit representations (22E70) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03) Fractional partial differential equations (35R11)
Cites Work
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- Lie symmetry analysis of the time fractional KdV-type equation
- Exact solutions of a variant Boussinesq system
- Similarity solutions to nonlinear heat conduction and Burgers/Korteweg-deVries fractional equations
- Table of some basic fractional calculus formulae derived from a modified Riemann-Liouville derivative for non-differentiable functions
- The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
- Invariance of a partial differential equation of fractional order under the Lie group of scaling transformations
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- A series of travelling wave solutions for two variant Boussinesq equations in shallow water waves
- Symmetry and integration methods for differential equations
- Comparison between homotopy perturbation method and optimal homotopy asymptotic method for the soliton solutions of Boussinesq-Burger equations
- Modelling fractal waves on shallow water surfaces via local fractional Korteweg-de Vries equation
- New explicit and exact travelling wave solutions for a system of variant Boussinesq equations in mathematical physics
- On the local fractional derivative of everywhere non-differentiable continuous functions on intervals
- A fractional quadratic autocatalysis associated with chemical clock reactions involving linear inhibition
- Dynamic response analysis of fractionally-damped generalized Bagley-Torvik equation subject to external loads
- New explicit exact solutions for the generalized coupled Hirota-Satsuma KdV system
- Modified Riemann-Liouville derivative and fractional Taylor series of nondifferentiable. functions. Further results
- Jacobi elliptic function solutions for two variant Boussinesq equations
- On the solution of the stochastic differential equation of exponential growth driven by fractional Brownian motion
- Intermediate processes and critical phenomena: theory, method and progress of fractional operators and their applications to modern mechanics
- Fractional Dynamics
- Complete Group Classifications and Symmetry Reductions of the Fractional Fifth-Order KdV Types of Equations
- Fractional-Order Derivatives and Integrals: Introductory Overview and Recent Developments
- Similarity solution to fractional nonlinear space-time diffusion-wave equation
- Symmetries and differential equations
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