Lie symmetries, group classification and conserved quantities of dispersionless Manakov-Santini system in \((2+1)\)-dimension
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Publication:6107472
DOI10.1007/s13226-022-00255-4zbMath1514.35397OpenAlexW4225279597WikidataQ115376110 ScholiaQ115376110MaRDI QIDQ6107472
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Publication date: 3 July 2023
Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s13226-022-00255-4
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Invariance and symmetry properties for PDEs on manifolds (58J70) Geometric theory, characteristics, transformations in context of PDEs (35A30) Symmetries, invariants, etc. in context of PDEs (35B06)
Cites Work
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- On the reduction of some dispersionless integrable systems
- Lie symmetries and conservation laws of the Hirota-Ramani equation
- Group classification for isothermal drift flux model of two phase flows
- A class of Einstein-Weyl spaces associated to an integrable system of hydrodynamic type
- Seven common errors in finding exact solutions of nonlinear differential equations
- Nonclassical symmetry reductions for the Kadomtsev-Petviashvili equation
- Inverse scattering problem for vector fields and the Cauchy problem for the heavenly equation
- Applications of symmetry methods to partial differential equations
- Exact similarity solutions of ideal MHD equations for plane motions
- The computer calculation of Lie point symmetries of large systems of differential equations
- Symmetries of a class of nonlinear third-order partial differential equations
- Symmetry and integration methods for differential equations
- On Painlevé analysis, symmetry group and conservation laws of Date-Jimbo-Kashiwara-Miwa equation
- Nonclassical symmetry analysis, conservation laws of one-dimensional macroscopic production model and evolution of nonlinear waves
- Nonlocal conservation laws, nonlocal symmetries and exact solutions of an integrable soliton equation
- Conservation laws and exact solutions of the Whitham-type equations
- Optimal system, invariant solutions and evolution of weak discontinuity for isentropic drift flux model
- A hierarchy of integrable partial differential equations in \(2+1\) dimensions associated with one-parameter families of one-dimensional vector fields
- On the normalizers of subalgebras in an infinite Lie algebra
- On the Einstein-Weyl and conformal self-duality equations
- 1 + 1 spectral problems arising from the Manakov–Santini system
- Recursion operators for dispersionless integrable systems in any dimension
- Non-classical symmetry reduction: example of the Boussinesq equation
- New similarity solutions for the modified Boussinesq equation
- New similarity reductions and Painleve analysis for the symmetric regularised long wave and modified Benjamin-Bona-Mahoney equations
- An interpolating dispersionless integrable system
- On a class of reductions of the Manakov–Santini hierarchy connected with the interpolating system
- The homotopy operator method for symbolic integration by parts and inversion of divergences with applications
- Dispersive deformations of hydrodynamic reductions of (2 + 1)D dispersionless integrable systems
- Are all the equations of the Kadomtsev–Petviashvili hierarchy integrable?
- A connection between nonlinear evolution equations and ordinary differential equations of P-type. I
- Group-invariant solutions and optimal systems for multidimensional hydrodynamics
- The τ‐function of the universal whitham hierarchy, matrix models and topological field theories
- Direct Construction of Conservation Laws from Field Equations
- Direct construction method for conservation laws of partial differential equations Part I: Examples of conservation law classifications
- Direct construction method for conservation laws of partial differential equations Part II: General treatment
- Integrable hydrodynamic chains
- INTEGRABLE HIERARCHIES AND DISPERSIONLESS LIMIT
- On the solutions of the dKP equation: the nonlinear Riemann Hilbert problem, longtime behaviour, implicit solutions and wave breaking
- Einstein-Weyl geometry, the dKP equation and twistor theory
