Zakharov, V. B.; Manakov, S. V. Multidimensional nonlinear integrable systems and methods for the construction of their solutions. (Russian. English summary) Zbl 0553.35078 Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 133, 77-91 (1984). The authors generalize the well-known Zakharov-Shabat dressing method for multidimensional nonlinear differential equations using the nonlocal Riemann problem. Reviewer: G.I.Laptev Cited in 1 ReviewCited in 5 Documents MSC: 35Q99 Partial differential equations of mathematical physics and other areas of application 35G20 Nonlinear higher-order PDEs 35C15 Integral representations of solutions to PDEs Keywords:integrable systems; Zakharov-Shabat dressing method; multidimensional nonlinear differential equations; nonlocal Riemann problem PDF BibTeX XML Cite \textit{V. B. Zakharov} and \textit{S. V. Manakov}, Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 133, 77--91 (1984; Zbl 0553.35078) Full Text: EuDML