Analysis of Lie symmetries with conservation laws for the (3+1) dimensional time-fractional mKdV-ZK equation in ion-acoustic waves
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Publication:1637257
DOI10.1007/s11071-017-3712-xzbMath1390.37115OpenAlexW2744862627MaRDI QIDQ1637257
Publication date: 7 June 2018
Published in: Nonlinear Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11071-017-3712-x
symmetryErdélyi-Kober operator\((3+1)\)-dimensional time-fractional mKdV-ZK equationLie symmetries analysisnew conservation law
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Symmetries, invariants, etc. in context of PDEs (35B06)
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Cites Work
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- Lie symmetry analysis of the time fractional KdV-type equation
- A geometric approach for solving the density-dependent diffusion Nagumo equation
- Fractional Lie group method of the time-fractional Boussinesq equation
- Lie symmetry analysis of Kudryashov-Sinelshchikov equation
- Invariant analysis of time fractional generalized Burgers and Korteweg-de Vries equations
- Functional variable method for conformable fractional modified KdV-ZK equation and maccari system
- New exact solutions of nonlinear fractional acoustic wave equations in ultrasound
- Nonlinear self-adjointness, conservation laws and exact solutions of time-fractional Kompaneets equations
- Conservation laws for time-fractional subdiffusion and diffusion-wave equations
- Construction of periodic and solitary wave solutions by the extended Jacobi elliptic function expansion method
- A new conservation theorem
- An elliptic equation method and its applications in nonlinear evolution equations
- Similarity solutions to nonlinear heat conduction and Burgers/Korteweg-deVries fractional equations
- Lie symmetry analysis and exact explicit solutions for general Burgers' equation
- On the conservation laws and invariant solutions of the mKdV equation
- 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
- Lie point symmetry preserving discretizations for variable coefficient Korteweg-de Vries equations
- Stability analysis solutions for nonlinear three-dimensional modified Korteweg-de Vries-Zakharov-Kuznetsov equation in a magnetized electron-positron plasma
- Lie symmetry analysis for similarity reduction and exact solutions of modified KdV-Zakharov-Kuznetsov equation
- Improved fractional sub-equation method for \((3+1)\)-dimensional generalized fractional KdV-Zakharov-Kuznetsov equations
- Lie symmetry analysis and exact solutions of \((3+1)\) dimensional Yu-Toda-Sasa-Fukuyama equation in mathematical physics
- Lie symmetries of differential equations: classical results and recent contributions
- Lie symmetry analysis to the time fractional generalized fifth-order KdV equation
- On the Time Fractional Generalized Fisher Equation: Group Similarities and Analytical Solutions
- Unified derivation of Korteweg-de Vries- Zakharov-Kuznetsov equations in multispecies plasmas
- Fractional Calculus with Applications for Nuclear Reactor Dynamics
- Lie symmetry analysis, conservation laws and explicit solutions for the time fractional Rosenau-Haynam equation
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