Bäcklund transformations and exact solutions for some nonlinear evolution equations in solar magnetostatic models

DOI10.1016/S0377-0427(01)00481-2zbMath1005.76094MaRDI QIDQ1602790

R. Smith

Publication date: 24 June 2002

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

exact solutionBäcklund transformationsnonlinear evolution equationPoisson equationsLiouville equationisothermal atmospherepermutability theoreminfinite sequence of solutionssine equationssinh-Poisson equationssolar plasma physics

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Hydrodynamic and hydromagnetic problems in astronomy and astrophysics (85A30)

Related Items (4)

Numerical solutions of some nonlinear evolution equations by Chebyshev spectral collocation methods ⋮ A Chebyshev spectral collocation method for solving Burgers'-type equations ⋮ New type of exact solutions of nonlinear evolution equations via the new sine-Poisson equation expansion method ⋮ GENERALIZED mKdV EQUATION, LIOUVILLE EQUATION, SINE-GORDON EQUATION AND SINH-GORDON EQUATION AS WELL AS A FORMAL BÄCKLUND TRANSFORMATION

Cites Work

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• Bäcklund transformations and their applications
• Analytical solutions for some nonlinear two-dimensional magnetostatic equilibria
• Chebyshev spectral collocation methods for nonlinear isothermal magnetostatic atmospheres
• Simple Derivation of Backlund Transformation from Riccati Form of Inverse Method
• Nonlinear periodic solutions for the isothermal magnetostatic atmosphere
• A mathematical model of solar flares
• Backlund transformations and Painleve analysis: exact solutions for a Grad-Shafranov-type magnetohydrodynamic equilibrium
• Backlund transformations and exact solutions for a nonlinear elliptic equation modelling isothermal magnetostatic atmosphere

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