Conservation laws, analytical solutions and stability analysis for the time-fractional Schamel-Zakharov-Kuznetsov-Burgers equation
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Publication:2114072
DOI10.1186/s13662-019-2375-yzbMath1485.35380OpenAlexW2981744292WikidataQ127025888 ScholiaQ127025888MaRDI QIDQ2114072
Publication date: 14 March 2022
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-019-2375-y
conservation lawssimilarity reductionLie point symmetriesRiemann-Liouville derivativesexplicit power seriesmodified trial equationtime-fractional Schamel-Zakharov-Kuznetsov-Burgers equation
Soliton equations (35Q51) Soliton solutions (35C08) Fractional partial differential equations (35R11) Symmetries, invariants, etc. in context of PDEs (35B06)
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Cites Work
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- Optical solitons in nonlinear directional couplers by sine-cosine function method and Bernoulli's equation approach
- Optical solitons with Biswas-Milovic equation for power law and dual-power law nonlinearities
- Invariant analysis of time fractional generalized Burgers and Korteweg-de Vries equations
- Fractional sub-equation method and its applications to nonlinear fractional PDEs
- Classification of exact solutions for some nonlinear partial differential equations with generalized evolution
- Symmetry reductions, exact solutions and conservation laws of a new coupled KdV system
- Solution of nonlinear space-time fractional differential equations using the fractional Riccati expansion method
- Conservation laws and exact solutions for a 2D Zakharov-Kuznetsov equation
- Investigation of positive solution to a coupled system of impulsive boundary value problems for nonlinear fractional order differential equations
- Block implicit Adams methods for fractional differential equations
- On a coupled system of fractional differential equations with coupled nonlocal and integral boundary conditions
- Variational principle, conservation laws and exact solutions for dust ion acoustic shock waves modeling modified Burger equation
- Homotopy perturbation method for fractional Fornberg-Whitham equation
- Approximate analytical solutions of fractional benney-lin equation by reduced differential transform method and the homotopy perturbation method
- Analytical solution for the space fractional diffusion equation by two-step Adomian decomposition method
- Conservation laws for time-fractional subdiffusion and diffusion-wave equations
- Rational solutions and lump solutions to a non-isospectral and generalized variable-coefficient Kadomtsev-Petviashvili equation
- A new conservation theorem
- Application of the fractional differential transform method to fractional-order integro-differential equations with nonlocal boundary conditions
- The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
- Analysis of Lie symmetries with conservation laws for the (3+1) dimensional time-fractional mKdV-ZK equation in ion-acoustic waves
- Analytical research of (\(3+1\))-dimensional Rossby waves with dissipation effect in cylindrical coordinate based on Lie symmetry approach
- Conservation laws of space-time fractional mZK equation for Rossby solitary waves with complete Coriolis force
- Analysis of Lie symmetries with conservation laws and solutions for the generalized (3 + 1)-dimensional time fractional Camassa-Holm-Kadomtsev-Petviashvili equation
- Time-fractional Benjamin-Ono equation for algebraic gravity solitary waves in baroclinic atmosphere and exact multi-soliton solution as well as interaction
- Cubic structures applied to ideals of BCI-algebras
- Homotopy perturbation method for fractional KdV-Burgers equation
- Sumudu transform and the solution of integral equations of convolution type
- Invariant variation problems
- Fractional Kinetics in Solids
- Classification of exact solutions to the generalized Kadomtsev–Petviashvili equation
- Application of fractional sub-equation method to nonlinear evolution equations
- Modeling and analysis of fractional neutral disturbance waves in arterial vessels
- On the Integrability of a Generalized Variable‐Coefficient Forced Korteweg‐de Vries Equation in Fluids
- Symmetries and differential equations
