This publication is cited in the following articles:
P. G. Grinevich, “Riemann Surfaces Close to Degenerate Ones in the Theory of Rogue Waves”, Proc. Steklov Inst. Math., 325 (2024), 86–110
Mark J. Ablowitz, Justin T. Cole, Gennady A. El, Mark A. Hoefer, Xu‐Dan Luo, “Soliton–mean field interaction in Korteweg–de Vries dispersive hydrodynamics”, Stud Appl Math, 151:3 (2023), 795
Yifeng Mao, Sathyanarayanan Chandramouli, Wenqian Xu, Mark A. Hoefer, “Observation of Traveling Breathers and Their Scattering in a Two-Fluid System”, Phys. Rev. Lett., 131:14 (2023)
Gino Biondini, Xu-Dan Luo, Jeffrey Oregero, Alexander Tovbis, “Elliptic finite-band potentials of a non-self-adjoint Dirac operator”, Advances in Mathematics, 429 (2023), 109188
Simonetta Abenda, Petr G. Grinevich, “Real regular KP divisors on 𝙼-curves and totally non-negative Grassmannians”, Lett. Math. Phys., 112 (2022), 115–64
A. P. Veselov, L. H. Wu, “Geodesic scattering on hyperboloids and Knörrer's map”, Nonlinearity, 34:9 (2021), 5926–5954
A. S. Fokas, J. Lenells, “A new approach to integrable evolution equations on the circle”, Proc. R. Soc. A., 477:2245 (2021)
A. V. Ilina, I. M. Krichever, N. A. Nekrasov, “Dvumernye periodicheskie operatory Shredingera, integriruemye na «sobstvennom» urovne energii”, Funkts. analiz i ego pril., 53:1 (2019), 31–48
Baoqiang Xia, “The quasi-periodic solutions of mixed KdV equations”, Journal of Mathematical Physics, 53:3 (2012)
Benoît Vicedo, “The method of finite-gap integration in classical and semi-classical string theory”, J. Phys. A: Math. Theor., 44:12 (2011), 124002
Xianguo Geng, Bo Xue, “Quasi-periodic solutions of mixed AKNS equations”, Nonlinear Analysis: Theory, Methods & Applications, 73:11 (2010), 3662
Xianguo Geng, Bo Xue, “Soliton solutions and quasiperiodic solutions of modified Korteweg–de Vries type equations”, Journal of Mathematical Physics, 51:6 (2010)
Matveev, VB, “30 years of finite-gap integration theory”, Philosophical Transactions of the Royal Society A-Mathematical Physical and Engineering Sciences, 366:1867 (2008), 837
Christian Klein, Lecture Notes in Physics, 685, Ernst Equation and Riemann Surfaces, 2005, 237
I. A. Taimanov, “On two-dimensional finite-gap potential Schrödinger and Dirac operators with singular spectral curves”, Siberian Math. J., 44:4 (2003), 686–694
A. A. Akhmetshin, Yu. S. Vol'vovskii, “The Dynamics of Zeros of Finite-Gap Solutions of the Schrödinger Equation”, Funct. Anal. Appl., 35:4 (2001), 247–256
P. G. Grinevich, “Scattering transformation at fixed non-zero energy for the two-dimensional Schrödinger operator with potential decaying at infinity”, Russian Math. Surveys, 55:6 (2000), 1015–1083
S. P. Novikov, I. A. Dynnikov, “Discrete spectral symmetries of low-dimensional differential operators and difference operators on regular lattices and two-dimensional manifolds”, Russian Math. Surveys, 52:5 (1997), 1057–1116
P. G. Grinevich, “Rapidly decreasing potentials on a background of finite-zone potentials and the $\partial$-problem on Riemann spaces”, Funct. Anal. Appl., 23:4 (1989), 321–322
R. F. Bikbaev, R. A. Sharipov, “Asymptotics at $t\to\infty$ of the solution to the Cauchy problem for the Korteweg–de Vries equation in the class of potentials with finite-gap behavior as $x\to\pm\infty$”, Theoret. and Math. Phys., 78:3 (1989), 244–252
B. A. Dubrovin, Lecture Notes in Mathematics, 1334, Global Analysis — Studies and Applications III, 1988, 42
R. A. Sharipov, “Finite-zone analogues of $N$-multiplet solutions of the Korteweg–de Vries equation”, Russian Math. Surveys, 41:5 (1986), 165–166
I. M. Krichever, “Integration of nonlinear equations by the methods of algebraic geometry”, Funct. Anal. Appl., 11:1 (1977), 12–26
B. A. Dubrovin, V. B. Matveev, S. P. Novikov, “Non-linear equations of Korteweg–de Vries type, finite-zone linear
operators, and Abelian varieties”, Russian Math. Surveys, 31:1 (1976), 59–146
I. M. Gel'fand, L. A. Dikii, “Fractional powers of operators and Hamiltonian systems”, Funct. Anal. Appl., 10:4 (1976), 259–273