Invariant analysis and conservation laws for the space-time fractional KdV-like equation
From MaRDI portal
Publication:6615049
DOI10.11948/20220202MaRDI QIDQ6615049
Jian-Gen Liu, Xiao-Jun Yang, Yi-Ying Feng, Lu-Lu Geng
Publication date: 8 October 2024
Published in: Journal of Applied Analysis and Computation (Search for Journal in Brave)
conservation lawssimilarity reductionnonlinear self-adjointnessinvariant analysisone-parameter transformation Lie group
Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65) Basic methods in fluid mechanics (76Mxx)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Fractional Lie group method of the time-fractional Boussinesq equation
- Fourier spectral methods for fractional-in-space reaction-diffusion equations
- Laplace transform and fractional differential equations
- Solitary wave solutions of the high-order KdV models for bi-directional water waves
- Nonlinear self-adjointness, conservation laws and exact solutions of time-fractional Kompaneets equations
- Stabilization using fractional-order PI and PID controllers
- A new conservation theorem
- Lie symmetry analysis and exact solutions for the short pulse equation
- 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
- Über den Fundamentalsatz in der Theorie der Funktionen \(E_\alpha(x)\).
- Symmetry and integration methods for differential equations
- Space-time fractional nonlinear partial differential equations: symmetry analysis and conservation laws
- Space-time fractional Rosenou-Haynam equation: Lie symmetry analysis, explicit solutions and conservation laws
- Lie symmetry analysis, conservation laws and analytical solutions of the time-fractional thin-film equation
- A new perspective to discuss Korteweg-de Vries-like equation
- Lie symmetry analysis, explicit solutions and conservation laws for the space-time fractional nonlinear evolution equations
- Lie symmetries and conservation laws for the time fractional Derrida-Lebowitz-Speer-Spohn equation
- Lie symmetry analysis of a class of time fractional nonlinear evolution systems
- Symmetry properties and explicit solutions of some nonlinear differential and fractional equations
- Finite difference methods for two-dimensional fractional dispersion equation
- General Fractional Derivatives
- Lie Symmetry Analysis and Wave Propagation in Variable-Coefficient Nonlinear Physical Phenomena
- Optimal controls for second‐order stochastic differential equations driven by mixed‐fractional Brownian motion with impulses
- Symmetry determination and nonlinearization of a nonlinear time-fractional partial differential equation
- General Fractional Derivatives with Applications in Viscoelasticity
- Fundamental solutions of anomalous diffusion equations with the decay exponential kernel
- Leibniz Rule for Fractional Derivatives Generalized and an Application to Infinite Series
- ANALYSIS OF THE TIME FRACTIONAL NONLINEAR DIFFUSION EQUATION FROM DIFFUSION PROCESS
- INVESTIGATION OF THE TIME FRACTIONAL GENERALIZED (2 + 1)-DIMENSIONAL ZAKHAROV–KUZNETSOV EQUATION WITH SINGLE-POWER LAW NONLINEARITY
- Symmetry analysis of the generalized space and time fractional Korteweg-de Vries equation
- On fractional symmetry group scheme to the higher-dimensional space and time fractional dissipative Burgers equation
Related Items (1)
This page was built for publication: Invariant analysis and conservation laws for the space-time fractional KdV-like equation