Lie symmetry analysis, conservation laws and analytical solutions of the time-fractional thin-film equation
From MaRDI portal
Publication:1715685
DOI10.1007/s40314-018-0699-yzbMath1413.35395OpenAlexW2889334632WikidataQ114852225 ScholiaQ114852225MaRDI QIDQ1715685
Publication date: 29 January 2019
Published in: Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40314-018-0699-y
analytical solutionsconservation lawsLie symmetry analysisRiemann-Liouville derivativethe time-fractional thin-film equation
Symbolic computation and algebraic computation (68W30) KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Solitary waves in solid mechanics (74J35) Representations of solutions to partial differential equations (35C99)
Related Items (9)
Dynamics of lump solutions, lump-kink solutions and periodic lump solutions in a (3+1)-dimensional generalized Jimbo–Miwa equation ⋮ Nonlocal symmetry, exact solutions and conservation laws of the \((1+1)\)-dimensional Levi equation ⋮ Lie symmetry analysis and conservation laws for the time fractional generalized advection-diffusion equation ⋮ Group classification, symmetry reductions and exact solutions of the time-fractional generalized thin film equation with variable coefficients ⋮ On explicit exact solutions and conservation laws for time fractional variable -- coefficient coupled Burger's equations ⋮ Lie symmetry analysis, conservation laws and analytical solutions for chiral nonlinear Schrödinger equation in (2 + 1)-dimensions ⋮ Fractional differential equations, compatibility, and exact solutions ⋮ General lump solutions, lumpoff solutions, and rogue wave solutions with predictability for the \((2+1)\)-dimensional Korteweg-de Vries equation ⋮ THE BREATHER WAVE SOLUTIONS, M-LUMP SOLUTIONS AND SEMI-RATIONAL SOLUTIONS TO A (2+1)-DIMENSIONAL GENERALIZED KORTEWEG-DE VRIES EQUATION
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Bäcklund transformation, infinite conservation laws and periodic wave solutions to a generalized \((2+1)\)-dimensional Boussinesq equation
- Group classification of nonlinear time-fractional diffusion equation with a source term
- Initial-boundary value problems for the general coupled nonlinear Schrödinger equation on the interval via the Fokas method
- Exact solution of certain time fractional nonlinear partial differential equations
- Rogue waves, homoclinic breather waves and soliton waves for the \((2 + 1)\)-dimensional B-type Kadomtsev-Petviashvili equation
- Invariant analysis of time fractional generalized Burgers and Korteweg-de Vries equations
- Quasi-periodic waves and solitary waves to a generalized KdV-Caudrey-Dodd-Gibbon equation from fluid dynamics
- Dynamics of the breathers, rogue waves and solitary waves in the \((2+1)\)-dimensional Ito equation
- 2D solitons in Boussinesq equation with dissipation
- On Lie symmetries, optimal systems and explicit solutions to the Kudryashov-Sinelshchikov equation
- Nonlinear self-adjointness, conservation laws and exact solutions of time-fractional Kompaneets equations
- Conservation laws for time-fractional subdiffusion and diffusion-wave equations
- A new conservation theorem
- Higher order nonlinear degenerate parabolic equations
- Numerical solutions of coupled Burgers equations with time- and space-fractional derivatives
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Asymptotic behavior of a weakly dissipative modified two-component Dullin-Gottwald-Holm system
- Initial-boundary value problems for the coupled modified Korteweg-de Vries equation on the interval
- Breather wave, rogue wave and solitary wave solutions of a coupled nonlinear Schrödinger equation
- On the solitary waves, breather waves and rogue waves to a generalized \((3+1)\)-dimensional Kadomtsev-Petviashvili equation
- Dynamics of the breathers and rogue waves in the higher-order nonlinear Schrödinger equation
- Solitary waves, homoclinic breather waves and rogue waves of the (3 + 1)-dimensional Hirota bilinear equation
- Nonnegative solutions of a fourth-order nonlinear degenerate parabolic equation
- Explicit Weierstrass traveling wave solutions and bifurcation analysis for dissipative Zakharov-Kuznetsov modified equal width equation
- Rogue waves, bright-dark solitons and traveling wave solutions of the \((3+1)\)-dimensional generalized Kadomtsev-Petviashvili equation
- Characteristics of solitary wave, homoclinic breather wave and rogue wave solutions in a (2+1)-dimensional generalized breaking soliton equation
- On periodic wave solutions with asymptotic behaviors to a \((3+1)\)-dimensional generalized B-type Kadomtsev-Petviashvili equation in fluid dynamics
- Invariant subspace method and exact solutions of certain nonlinear time fractional partial differential equations
- Characteristics of the solitary waves and rogue waves with interaction phenomena in a generalized \((3+1)\)-dimensional Kadomtsev-Petviashvili equation
- On the Lie algebras, generalized symmetries and Darboux transformations of the fifth-order evolution equations in shallow water
- Invariant analysis and exact solutions of nonlinear time fractional Sharma-Tasso-Olver equation by Lie group analysis
- Lie Symmetry Analysis and Conservation Laws of a Generalized Time Fractional Foam Drainage Equation
- Long-time asymptotic behavior for the Gerdjikov-Ivanov type of derivative nonlinear Schrödinger equation with time-periodic boundary condition
- Lie Symmetry Analysis, Conservation Laws and Exact Power Series Solutions for Time-Fractional Fordy–Gibbons Equation
- High-Order Nonlinear Diffusion
- Invariant variation problems
- Thin Films with High Surface Tension
- Characteristics of the breather and rogue waves in a (2+1)-dimensional nonlinear Schrödinger equation
- Initial-boundary value problems of the coupled modified Korteweg–de Vries equation on the half-line via the Fokas method
- Solitary Wave and Quasi-Periodic Wave Solutions to a (3+1)-Dimensional Generalized Calogero-Bogoyavlenskii-Schiff Equation
- Lie symmetry analysis, conservation laws and analytical solutions of a time-fractional generalized KdV-type equation*
- The mixed coupled nonlinear Schrödinger equation on the half-line via the Fokas method
- On the Integrability of a Generalized Variable‐Coefficient Forced Korteweg‐de Vries Equation in Fluids
- Symmetries and differential equations
This page was built for publication: Lie symmetry analysis, conservation laws and analytical solutions of the time-fractional thin-film equation
