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Some new exact solutions to the nonlinear shallow-water wave equations via group analysis

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Publication:1122422
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DOI10.1007/BF01576000zbMath0675.76019MaRDI QIDQ1122422

Carmela Currò

Publication date: 1989

Published in: Meccanica (Search for Journal in Brave)


zbMATH Keywords

shallow water equationsexact solutionsgroup analysisnonlinear fluid motions


Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Partial differential equations of mathematical physics and other areas of application (35Q99)


Related Items

Semi-analytical solutions of shallow water waves with idealised bottom topographies



Cites Work

  • Unnamed Item
  • Exact time-dependent flows for non-shallow water equations
  • Similarity methods for differential equations
  • Nonlinear partial differential equations in engineering. Vol. II
  • Exact, self-similar, time-dependent free surface flows under gravity
  • Some exact solutions to the nonlinear shallow-water wave equations
  • Self-similar, time-dependent flows with a free surface
  • Simple waves on shear flows: similarity solutions
  • A class of exact, time-dependent, free-surface flows
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