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<p>In this paper exact wave solutions of the non-homogeneous p-system are found. For some forms of the external force, the existence of continuous shock structures as well as of sub-shocks is studied. Finally, in a particular case, the asymptotic behaviour of the solution of the Riemann problem is considered.</p>

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Nonlinear wave problems for a non-homogeneous p-system

  • 期刊论文

  • 发表日期：

    2026年5月17日

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  • Natale Manganaro,
  • Alessandra Rizzo

摘要

In this paper exact wave solutions of the non-homogeneous p-system are found. For some forms of the external force, the existence of continuous shock structures as well as of sub-shocks is studied. Finally, in a particular case, the asymptotic behaviour of the solution of the Riemann problem is considered.