Andrew Urilyon, Stefano Scopa, Giuseppe Del Vecchio Del Vecchio, Jacopo De Nardis, “Quantum fluctuating theory for one-dimensional shock waves”, Phys. Rev. B, 111:4 (2025)
Yaqing Liu, Shijie Zeng, “Structure and dynamic evolution of Riemann problem solutions for the Kundu equation with step-like initial data”, Nonlinear Dyn, 2025
D. V. Shaykin, A. M. Kamchatnov, “Theory of dispersive shock waves induced by the Raman effect in optical fibers”, Phys. Rev. A, 112:6 (2025)
Frederik Møller, Philipp Schüttelkopf, Jörg Schmiedmayer, Sebastian Erne, “Whitham approach to Generalized Hydrodynamics”, Phys. Rev. Research, 6:1 (2024)
Patrick Sprenger, Mark A. Hoefer, Boaz Ilan, “Whitham Modulation Theory and Two-Phase Instabilities for Generalized Nonlinear Schrödinger Equations with Full Dispersion”, SIAM J. Appl. Math., 84:4 (2024), 1337
Asela Abeya, Gino Biondini, Mark A Hoefer, “Whitham modulation theory for the defocusing nonlinear Schrödinger equation in two and three spatial dimensions”, J. Phys. A: Math. Theor., 56:2 (2023), 025701
Shijie Zeng, Yaqing Liu, “The Whitham Modulation Solution of the Complex Modified KdV Equation”, Mathematics, 11:13 (2023), 2810
Mark J. Ablowitz, Justin T. Cole, Igor Rumanov, “On the Whitham system for the (2+1)‐dimensional nonlinear Schrödinger equation”, Stud Appl Math, 150:2 (2023), 380
Chao Hang, Zhengyang Bai, Weibin Li, Anatoly M. Kamchatnov, Guoxiang Huang, “Accessing and manipulating dispersive shock waves in a nonlinear and nonlocal Rydberg medium”, Phys. Rev. A, 107:3 (2023)
A. M. Kamchatnov, “Evolution of Nonlinear Wave Pulses in the sine-Gordon Equation Theory”, J. Exp. Theor. Phys., 136:5 (2023), 653
Gunay Aslanova, Ali Demirci, Semra Ahmetolan, “Modulated periodic wavetrains in the spherical Gardner equation”, Wave Motion, 109 (2022), 102844
Sergey Gavrilyuk, Keh-Ming Shyue, “Singular solutions of the BBM equation: analytical and numerical study”, Nonlinearity, 35:1 (2022), 388
Yan Zhang, Hui-Qin Hao, Rui Guo, “Periodic solutions and Whitham modulation equations for the Lakshmanan–Porsezian–Daniel equation”, Physics Letters A, 450 (2022), 128369
Abdelkrim Bendahmane, Gang Xu, Matteo Conforti, Alexandre Kudlinski, Arnaud Mussot, Stefano Trillo, “The piston Riemann problem in a photon superfluid”, Nat Commun, 13:1 (2022)
A. M. Kamchatnov, “Gurevich–Pitaevskii problem and its development”, Phys. Usp., 64:1 (2021), 48–82
El G.A., “Soliton Gas in Integrable Dispersive Hydrodynamics”, J. Stat. Mech.-Theory Exp., 2021:11 (2021), 114001
A. Romero-Ros, G. C. Katsimiga, P. G. Kevrekidis, B. Prinari, G. Biondini, P. Schmelcher, “On-demand generation of dark soliton trains in Bose-Einstein condensates”, Phys. Rev. A, 103:2 (2021)
Sylvie Benzoni-Gavage, Colin Mietka, L Miguel Rodrigues, “Modulated equations of Hamiltonian PDEs and dispersive shocks”, Nonlinearity, 34:1 (2021), 578
Gennady El, Alexander Tovbis, “Spectral theory of soliton and breather gases for the focusing nonlinear Schrödinger equation”, Phys. Rev. E, 101:5 (2020)
Sergey K. Ivanov, “Riemann problem for the light pulses in optical fibers for the generalized Chen-Lee-Liu equation”, Phys. Rev. A, 101:5 (2020)