Abstract
Abstract A class of quasilinear hyperbolic equations of mixed type whose characteristic roots are simultaneously characteristic invariants is found. For a special equation of this class, a general integral is constructed in terms of invariants in the closed form by using the method of characteristics. Based on the structure of families of characteristics, the initial Cauchy problem is investigated. The structure of the solution definition and regularity domains is defined using the properties of initial perturbations.
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