6533b86ffe1ef96bd12cdad1
RESEARCH PRODUCT
Some evolution equations arising in physics
T. BrugarinoP. PantanoA. Caninosubject
PhysicsNonlinear Sciences::Exactly Solvable and Integrable SystemsSeries (mathematics)Physical phenomenaMathematics::Analysis of PDEsKorteweg–de Vries equationNonlinear Sciences::Pattern Formation and SolitonsSketchMathematical physicsBurgers' equationInterpretation (model theory)description
In this paper we consider a new series of evolution equations generalizing the Korteweg-deVries (KdV) and Burgers equations, and we report recent advances on these equations together with the physical phenomena where they arise. In particular we consider a generalized Burgers' equation and we sketch a method for solution in series by using the theory of Sobolevskij and Tanabe. Then we study the KdV equation with nonuniformity terms and we describe various physical interpretation of this equation. We consider various particular cases in which varying solitonic solutions exist. Also we sketch a unicity theorem. Finally modified Burgers-KdV equations are considered.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1983-01-01 |