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Exact solutions for a certain hyperbolic 2-conservation.
| Content Provider | CiteSeerX |
|---|---|
| Author | Chang, Peter H. |
| Abstract | ABSTRACT. We consider a certain nonlinear hyperbolic system of two equations in two unknowns with initial conditions prescribed along a segment-b •< x •< b, b> 0. By a hodograph transformation we can invert such a nonlinear hyperbolic system to a linear Euler-Poisson-Darboux (EPD) equation, which describes the vibrations of a membrane and whose solutions can be constructed explicitly in some cases. For these cases, we use the inverse functions of the solutions to construct the solutions of the previous nonlinear hyperbolic system 1. Introduction. The hyperbolic 2-conservation |
| File Format | |
| Access Restriction | Open |
| Subject Keyword | Exact Solution Certain Hyperbolic Inverse Function Nonlinear Hyperbolic System Linear Euler-poisson-darboux Previous Nonlinear Hyperbolic System Initial Condition Hodograph Transformation Certain Nonlinear Hyperbolic System Hyperbolic 2-conservation |
| Content Type | Text |
| Resource Type | Article |
