Tanh-travelling wave solutions, truncated Painlevé expansion and reduction of Bullough--Dodd equation to a quadrature in magnetohydrodynamic equilibrium
From MaRDI portal
Publication:1416184
DOI10.1016/S0960-0779(02)00161-3zbMath1030.76060MaRDI QIDQ1416184
Publication date: 14 December 2003
Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)
plasmanonlinear elliptic equationGrad-Shafranov equationmagnetic potentialisothermal magnetostatic atmosphereRQ method
Magnetohydrodynamics and electrohydrodynamics (76W05) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)
Related Items
Extended tanh-function method and reduction of nonlinear Schrödinger-type equations to a quadrature, Macropterons, micropterons and similarity reductions for the regularized Ostrovsky-Grimshaw model for fluids and plasmas with symbolic computation
Cites Work
- Unnamed Item
- The reduction problem and the inverse scattering method
- Some nonlinear problems in astrophysics
- Integrable nonlinear Klein-Gordon equations and Toda lattices
- Exact solutions of nonlinear PDE, nonlinear transformation and reduction of nonlinear PDE to a quadrature
- Truncated Painlevé expansion and a wide-ranging type of generalized variable-coefficient Kadomtsev-Petviashvili equations
- Exact solutions of nonlinear equations
- Extended tanh-function method and its applications to nonlinear equations
- The sine-Gordon equations: Complete and partial integrability
- Nonlinear periodic solutions for the isothermal magnetostatic atmosphere
- The Painlevé property for partial differential equations. II: Bäcklund transformation, Lax pairs, and the Schwarzian derivative
- The Painlevé property for partial differential equations
- Backlund transformations and Painleve analysis: exact solutions for a Grad-Shafranov-type magnetohydrodynamic equilibrium
- Bäcklund transformation and the Painlevé property
- Soliton solutions for a generalized Hirota-Satsuma coupled KdV equation and a coupled MKdV equation