Lie symmetries and similarity solutions for a family of 1+1 fifth-order partial differential equations
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Publication:5095408
DOI10.2989/16073606.2021.1928323OpenAlexW3171417919WikidataQ115224741 ScholiaQ115224741MaRDI QIDQ5095408
Publication date: 8 August 2022
Published in: Quaestiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2105.06661
Nonlinear evolution equations (47J35) Other special methods applied to PDEs (35A25) Classical solutions to PDEs (35A09)
Cites Work
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- New \textit{higher-order} conservation laws of some classes of wave and Gordon-type equations
- Lie and Noether symmetries of geodesic equations and collineations
- Optimal systems and group classification of \((1+2)\)-dimensional heat equation
- 1-soliton solution of the nonlinear Schrödinger's equation with Kerr law nonlinearity using Lie symmetry analysis
- Jacobi's last multiplier, Lie symmetries, and hidden linearity: ``goldfishes galore
- Lie symmetry analysis and approximate solutions for nonlinear radial oscillations of an incompressible Mooney-Rivlin cylindrical tube
- Lie symmetries and exact solutions of shallow water equations with variable bottom
- Some more solutions of Kadomtsev-Petviashvili equation
- Kink solutions for a class of generalized dissipative equations
- Wave equations in Bianchi space-times
- Kink solutions for three new fifth order nonlinear equations
- A (2+1)-dimensional sine-Gordon and sinh-Gordon equations with symmetries and kink wave solutions
- On Lie symmetries and soliton solutions of \((2+1)\)-dimensional Bogoyavlenskii equations
- Singularity analysis of a variant of the Painlevé-Ince equation
- On Lie symmetry analysis, conservation laws and solitary waves to a longitudinal wave motion equation
- Symmetry analysis of a system of modified shallow-water equations
- Complex simplified Hirota's forms and Lie symmetry analysis for multiple real and complex soliton solutions of the modified KdV-sine-Gordon equation
- Symmetry analysis of wave equation on sphere
- Benjamin-Bona-Mahony equation with variable coefficients: conservation laws
- Nonlocal symmetries, exact solutions and conservation laws of the coupled Hirota equations
- Nonlinear ordinary differential equations: A discussion on symmetries and singularities
- Two-dimensional dynamical systems which admit Lie and Noether symmetries
- A new fifth-order nonlinear integrable equation: multiple soliton solutions
- Similarity inner solutions for the Pulsar equation
- Fluid relabelling symmetries, Lie point symmetries and the Lagrangian map in magnetohydrodynamics and gas dynamics
- Group analysis and exact solutions of a class of variable coefficient nonlinear telegraph equations
- First integrals for the modified Emden equation q̈+α(t) q̇+q n =0
- A connection between nonlinear evolution equations and ordinary differential equations of P-type. I
- A connection between nonlinear evolution equations and ordinary differential equations of P-type. II
- Solutions of quasi-geostrophic turbulence in multi-layered configurations
- Symmetry analysis of the Klein–Gordon equation in Bianchi I spacetimes
- Jacobi multipliers, non-local symmetries, and nonlinear oscillators
- A Note on the Integrability of a Class of Nonlinear Ordinary Differential Equations
- Symmetry group classification of ordinary differential equations: Survey of some results
- Jacobi’s last multiplier and Lagrangians for multidimensional systems
- Nonisentropic Solutions of Simple Wave Type of the Gas Dynamics Equations
- Symmetries and differential equations
- Dynamical systems: Approximate Lagrangians and Noether symmetries
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