New rational solutions of the Veselov-Novikov equation and new exact rational potentials of the two-dimensional stationary Schrödinger equation via \(\overline\partial\)-dressing method

zbMath1064.35132MaRDI QIDQ1767996

I. B. Formusatik, V. G. Dubrovskij

Publication date: 8 March 2005

Published in: Gravitation \& Cosmology (Search for Journal in Brave)

zbMATH Keywords

rational solutionswave functions with multiple polesZakharov-Manakov \(\partial\)-dressing method

Mathematics Subject Classification ID

Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Solutions to PDEs in closed form (35C05) Riemann-Hilbert problems in context of PDEs (35Q15)

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