<p>In this paper, we propose a solution of a traveling-wave type to a mixed problem for a nonlinear hyperbolic system of first-order partial differential equations with a modulus-type nonlinearity and obtain conditions for the existence of a solution of a traveling-wave type.</p>

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SOLUTION OF A TRAVELING-WAVE TYPE TO A MIXED PROBLEM FOR A NONLINEAR SYSTEM OF FIRST-ORDER DIFFERENTIAL EQUATIONS

  • E. Yu. Grazhdantseva

摘要

In this paper, we propose a solution of a traveling-wave type to a mixed problem for a nonlinear hyperbolic system of first-order partial differential equations with a modulus-type nonlinearity and obtain conditions for the existence of a solution of a traveling-wave type.