30 citations to 10.1093/imamat/hxq004 (Crossref Cited-By Service)
  1. A. T. Il’íchev, V. A. Shargatov, Y. B. Fu, “Characterization and dynamical stability of fully nonlinear strain solitary waves in a fluid-filled hyperelastic membrane tube”, Acta Mech, 231, № 10, 2020, 4095  crossref
  2. I. B. Bakholdin, “Numerical study of solitary waves and reversible shock structures in tubes with controlled pressure”, Comput. Math. and Math. Phys., 55, № 11, 2015, 1884  crossref
  3. Yang Ye, Yang Liu, Yibin Fu, “Weakly nonlinear analysis of localized bulging of an inflated hyperelastic tube of arbitrary wall thickness”, Journal of the Mechanics and Physics of Solids, 135, 2020, 103804  crossref
  4. A T Il’ichev, “Dynamical stability of running solitary waves in fluid-filled elastic membrane tubes”, J. Phys.: Conf. Ser., 1099, 2018, 012018  crossref
  5. YB Fu, AT Il’ichev, “Localized standing waves in a hyperelastic membrane tube and their stabilization by a mean flow”, Mathematics and Mechanics of Solids, 20, № 10, 2015, 1198  crossref
  6. R Ivan Defaz, Marcelo Epstein, Salvatore Federico, “The domain of existence of solitary waves in fluid-filled thin elastic tubes”, Mathematics and Mechanics of Solids, 26, № 9, 2021, 1354  crossref
  7. I.B. Bakholdin, “Theory and classification of the reversible structures of discontinuities in hydrodynamic-type models”, Journal of Applied Mathematics and Mechanics, 78, № 6, 2014, 599  crossref
  8. I.B. Bakholdin, “Application of the theory of reversible discontinuities to the investigation of equations describing waves in tubes with elastic walls”, Journal of Applied Mathematics and Mechanics, 81, № 5, 2017, 409  crossref
  9. A. T. Il’ichev, “Dynamics and spectral stability of soliton-like structures in fluid-filled membrane tubes”, Russ. Math. Surv., 75, № 5, 2020, 843  crossref
  10. Андрей Теймуразович Ильичев, Andrej Teimurazovich Il'ichev, “Устойчивость уединенных волн в мембранных трубах: слабонелинейный анализ”, Теоретическая и математическая физика, 193, № 2, 2017, 214  crossref
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