$\mathcal {PT}$-symmetrically deformed shock waves

DOI10.1088/1751-8113/45/44/444010zbMath1386.37072arXiv1201.5809OpenAlexW1525930779MaRDI QIDQ4913239

Andrea Cavaglià, Andreas Fring

Publication date: 5 April 2013

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.5809

zbMATH Keywords

nonlinear wave equationmethod of characteristicsshock profile

Mathematics Subject Classification ID

Shocks and related discontinuities in solid mechanics (74J40) Nonlinear waves in solid mechanics (74J30) Surface waves in solid mechanics (74J15) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items (4)

Perfectly invisible \( \mathcal{P}\mathcal{T} \)-symmetric zero-gap systems, conformal field theoretical kinks, and exotic nonlinear supersymmetry ⋮ Time-delay and reality conditions for complex solitons ⋮ Isomorphic Hilbert spaces associated with different complex contours of the $\mathcal{PT}$-symmetric (-x⁴) theory ⋮ Complex solitons with real energies

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