The Net Advance of Physics:
WAVE EQUATION

WAVE EQUATIONS:

• General:
  • Geometric Wave Equations by Stefan Waldmann [2012/08] Also theory of distributions on manifolds. 279 pp.
  • Wave Solutions [to Linear and Nonlinear Partial Differential Equations in Continuum Mechanics] by Ivan C. Christov [2012/08]
  • Analytical Methods in Physics by Yi-Zen Chu [2015] Textbook, 232 pp.

• Types: ELECTROMAGNETIC; SHOCK WAVES; SOLITARY WAVES; TSUNAMI; WAKES;

• Type: BREATHERS:
  • Instabilities, breathers and rogue waves in optics by John M. Dudley et al. [Nature Photonics 8, 755 (2014)]

• Type: GENERALISED:
  • Generalised Diffusion and Wave Equations: Recent Advances by Trifce Sandev et al [2019/03]

• Type: LOCALISED:
  • Structure of the Nondiffracting (Localized) Waves, and some interesting applications by Michel Zamboni-Rached et al. [2007/08]
  • Localized Waves: A scientific and historical introduction by Erasmo Recami et al. [2007/08]
  • Localized Waves: A not-so-short Review by Erasmo Recami and Michel Zamboni-Rached [Advances in Imaging and Electron Physics 156, 235 (2009)]

• Type: NON-LINEAR: Tataru 2003/04;
  • Topics in Applied Mathematics and Nonlinear Waves by Per Kristen Jakobsen [2019/04] 320 pp.

• Type: ROGUE:
  • Instabilities, breathers and rogue waves in optics by John M. Dudley et al. [Nature Photonics 8, 755 (2014)]

• Type: SOUND:
  • The geometry of sound rays in a wind by G. W. Gibbons and C. M. Warnick [2011/02]
  • Music in Terms of Science by James Q. Feng [2012/09]
  • Mathematics and group theory in music by Athanase Papadopoulos [2014/07]

• Type: STRUCTURED:
  • Roadmap on structured waves by K. Y. Bliokh et al. [2023/01]

• Type: SURFACE:
  • Surface waves everywhere by M. I. Dyakonov [2021/07]

• Type: TKACHENKO:
  • Tkachenko waves by E. B. Sonin [2013/11]

• Type: WATER:
  • Nonlinear resonances of water waves by Elena Kartashova [2009/05]
  • The Basics of Water Waves Theory for Analogue Gravity by Germain Rousseaux [2012/03]
  • Shallow Water Waves and Solitary Waves by Willy Hereman [2013/08]
  • On the mathematical description of water waves by Wolf-Patrick Düll [2016/12]

• Re: BOSE-EINSTIEN CONDENSATES:
  • Tkachenko waves by E. B. Sonin [2013/11]

• Re: DIFFERENTIAL GEOMETRY:
  • Wave and Dirac equations on manifolds by Lars Andersson and Christian Baer [2017/10]

• Re: SUPERCONDUCTORS:
  • Tkachenko waves by E. B. Sonin [2013/11]

• Re: SUPERFLUIDS:
  • Tkachenko waves by E. B. Sonin [2013/11]

THE NET ADVANCE OF PHYSICS