Lie symmetry analysis, conservation laws and analytical solutions for the constant astigmatism equation
From MaRDI portal
Publication:6190434
DOI10.1016/j.cjph.2017.08.015OpenAlexW2749951314MaRDI QIDQ6190434
Li Zou, Tian-Tian Zhang, Shou-Fu Tian
Publication date: 5 March 2024
Published in: Chinese Journal of Physics (Taipei) (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cjph.2017.08.015
Partial differential equations of mathematical physics and other areas of application (35Qxx) Partial differential equations on manifolds; differential operators (58Jxx) Lie groups (22Exx)
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
- Spatiotemporal Hermite-Gaussian solitons of a (3 + 1)-dimensional partially nonlocal nonlinear Schrödinger equation
- Initial-boundary value problems for the general coupled nonlinear Schrödinger equation on the interval via the Fokas method
- Analytic solutions, Darboux transformation operators and supersymmetry for a generalized one-dimensional time-dependent Schrödinger equation
- Conservation laws, bright matter wave solitons and modulational instability of nonlinear Schrödinger equation with time-dependent nonlinearity
- 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
- Symmetry analysis and reductions of the two-dimensional generalized Benney system via geometric approach
- On Lie symmetries, optimal systems and explicit solutions to the Kudryashov-Sinelshchikov equation
- On symmetry-preserving difference scheme to a generalized Benjamin equation and third-order Burgers equation
- Integrability and exact solutions of a two-component Korteweg-de Vries system
- Riemann theta functions periodic wave solutions and rational characteristics for the nonlinear equations
- Applications of symmetry methods to partial differential equations
- On integrability and quasi-periodic wave solutions to a \((3+1)\)-dimensional generalized KdV-like model equation
- Riemann theta functions periodic wave solutions and rational characteristics for the \((1+1)\)-dimensional and \((2+1)\)-dimensional Itô equation
- On periodic wave solutions with asymptotic behaviors to a \((3+1)\)-dimensional generalized B-type Kadomtsev-Petviashvili equation in fluid dynamics
- Nonclassical analysis of the nonlinear Kompaneets equation
- On the Lie algebras, generalized symmetries and Darboux transformations of the fifth-order evolution equations in shallow water
- Lagrangian and Hamiltonian structures for the constant astigmatism equation
- Nonlocal symmetries related to Bäcklund transformation and their applications
- On the integrability of a generalized variable-coefficient Kadomtsev–Petviashvili equation
- Classification of integrable Weingarten surfaces possessing an \mathfrak{sl} (2)-valued zero curvature representation
- On integrability of Weingarten surfaces: a forgotten class
- Non-local symmetries via Darboux transformations
- Lie symmetries and nonlocally related systems of the continuous and discrete dispersive long waves system by geometric approach
- On locally and nonlocally related potential systems
- The constant astigmatism equation. New exact solution
This page was built for publication: Lie symmetry analysis, conservation laws and analytical solutions for the constant astigmatism equation
