Transformations of dispersionless partial differential equations and exact solutions
Caier Ye
Abstract
Caier Ye
Abstract
By approximate reduction , three nonlinear physical equations are changed into a kind of dispersionlesspartial differential equations which are converted into the first order quasilinear hyperbolic equation via transformations .The exact solutions of dispersionless partial differential equations can be obtained by using the solutions of quasilinear hyperbolic equation .
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By approximate reduction , three nonlinear physical equations are changed into a kind of dispersionlesspartial differential equations which are converted into the first order quasilinear hyperbolic equation via transformations .The exact solutions of dispersionless partial differential equations can be obtained by using the solutions of quasilinear hyperbolic equation .
Key concepts: Hyperbolic partial differential equation, Mathematics, First-order partial differential equation, Partial differential equation, Mathematical analysis, Nonlinear system, Method of characteristics, Elliptic partial differential equation