Found 71 Documents (Results 1–71)
Multiplicity of solutions for a generalized Kadomtsev-Petviashvili equation with potential in \(\mathbb{R}^2\). (English) Zbl 1529.35006
Frölicher structures, diffieties, and a formal KP hierarchy. (English) Zbl 1530.35012
Krasil’shchik, I. S. (ed.) et al., The diverse world of PDEs. Algebraic and cohomological aspects. Alexandre Vinogradov memorial conference. Diffieties, cohomological physics, and other animals, Independent University of Moscow and Moscow State University, Moscow, Russia, December 13–17, 2021. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 789, 183-196 (2023).
Infinite-dimensional Frobenius manifolds underlying an extension of the dispersionless Kadomtsev-Petviashvili hierarchy. (English) Zbl 1477.53113
Reviewer: Arpan Saha (Madrid)
On the variational interpretation of the discrete KP equation. (English) Zbl 1351.37239
Bobenko, Alexander I. (ed.), Advances in discrete differential geometry. Berlin: Springer (ISBN 978-3-662-50446-8/hbk; 978-3-662-50447-5/ebook). 379-405 (2016).
Stationary solutions for a generalized Kadomtsev-Petviashvili equation in a bounded domain. (English) Zbl 1313.35007
Lie groups, singularities and solutions of nonlinear partial differential equations. (English) Zbl 1043.35013
Greco, Antonio M. (ed.), Direct and inverse methods in nonlinear evolution equations. Lectures given at the C.I.M.E. summer school, Cetraro, Italy, September 5–12, 1999. Berlin: Springer (ISBN 3-540-20087-8/hbk). Lect. Notes Phys. 632, 223-273 (2003).
Reviewer: Boris V. Loginov (Ul’yanovsk)
KP or mKP. Noncommutative mathematics of Lagrangian, Hamiltonian, and integrable systems. (English) Zbl 0971.37032
Mathematical Surveys and Monographs. 78. Providence, RI: American Mathematical Society (AMS). xviii, 600 p. (2000).
Reviewer: Samir Musayev (Baku)
Method of squared eigenfunction potentials in integrable hierarchies of KP type. (English) Zbl 0907.35110
Remarks about the Calogero-Moser system and the KP equation. (English) Zbl 0899.35098
Harnad, John (ed.) et al., The bispectral problem. Proceedings of the CRM workshop, Montréal, Canada, March 1997. Providence, RI: American Mathematical Society. CRM Proc. Lect. Notes. 14, 227-234 (1998).
Vector nonlinear Schrödinger hierarchies as approximate Kadomtsev-Petviashvili hierarchies. (English) Zbl 0885.35130
Scheme of constructing soliton-type solutions of the \((2+1)\)-dimensional Harry Dym equation. (English) Zbl 0888.35096
On the Painlevé property of nonlinear evolution equations in \(2+1\) dimensions. (English) Zbl 0889.35091
The spectral problem associated with the Kadomtsev-Petviashvili equation II. (English) Zbl 0849.35119
Reviewer: M.Haik (Brighton, MA)
Generalized \(W_ \infty\) symmetry algebra of the conditionally integrable nonlinear evolution equation. (English) Zbl 0842.35118
J. Math. Phys. 36, No. 7, 3492-3497 (1995); comment ibid. 40, No. 7, 3685-3690 (1999); response ibid. 40, No. 7, 3691-3692 (1999).
Modifying the KP, the \(n^{th}\) constrained KP hierarchies and their Hamiltonian structures. (English) Zbl 0838.35113
Super elliptic curves. (English) Zbl 0817.14033
On the (modified) Kadomtsev-Petviashvili hierarchy. (English) Zbl 0830.35117
Reviewer: D.Bainov (Sofia)
Symmetries and algebras of the integrable dispersive long wave equations in \((2+1)\)-dimensional spaces. (English) Zbl 0842.35117
Squared eigenfunctions of the (modified) KP hierarchy and scattering problems of Loewner type. (English) Zbl 0841.35103
Algebraic systems in differential geometry. (English) Zbl 0816.53003
Kaup, Wilhelm (ed.) et al., Jordan algebras. Proceedings of the conference held in Oberwolfach, Germany, August 9-15, 1992. Berlin: de Gruyter. 9-33 (1994).
Reviewer: V.V.Goldberg (Newark / New Jersey)
Geometric Hamiltonian forms for the Kadomtsev-Petviashvili and Zabolotskaya-Khokhlov equations. (English) Zbl 0879.35137
Pràstaro, A. (ed.) et al., Geometry in partial differential equations. Singapore: World Scientific. 155-172 (1994).
Symmetry algebra of nonlinear integrable equations. (English. Russian original) Zbl 0852.35129
Theor. Math. Phys. 94, No. 4, 387-392 (1993); translation from Teor. Mat. Fiz. 95, No. 1, 34-41 (1993).
On the symmetries of integrable systems. (English) Zbl 0816.35122
Fokas, A. S. (ed.) et al., Important developments in soliton theory. Berlin: Springer-Verlag. Springer Ser. Nonlinear Dyn. 283-301 (1993).
Reviewer: V.A.Yumaguzhin (Pereslavl’-Zalesskij)
Dispersion relations for nonlinear waves and the Schottky problem. (English) Zbl 0811.35121
Fokas, A. S. (ed.) et al., Important developments in soliton theory. Berlin: Springer-Verlag. Springer Ser. Nonlinear Dyn. 86-98 (1993).
Nonclassical symmetry reductions of nonlinear partial differential equations. (English) Zbl 0805.35092
Geometric classification of \(\mathbb{Z}_ 2\)-commutative algebras of super differential operators. (English) Zbl 0809.58041
Mabuchi, Toshiki (ed.) et al., Einstein metrics and Yang-Mills connections. Proceedings of the 27th Taniguchi international symposium, held at Sanda, Japan, December 6-11, 1990. New York: Marcel Dekker, Inc.. Lect. Notes Pure Appl. Math. 145, 161-180 (1993).
Reviewer: I.Mihai (Bucureşti)
The negative weight KP hierarchy. (English) Zbl 0786.35112
Clarkson, Peter A. (ed.), Applications of analytic and geometric methods to nonlinear differential equations. Proceedings of the NATO Advanced Research Workshop, Exeter, United Kingdom, July 14-19, 1992. Dordrecht: Kluwer Academic Publishers. NATO ASI Ser., Ser. C, Math. Phys. Sci. 413, 139-148 (1993).
Hierarchy of lower Korteweg-de Vries equations and supersymmetry structure of Miura transformations. (English) Zbl 0780.35096
Principal fiber bundle interpretation of the KP-hierarchy. (English) Zbl 0802.58006
Reviewer: V.G.Angelov (Sofia)
Coherent structures for the Ishimori equation. II: Time-dependent boundaries. (English) Zbl 0757.35069
Rational \(KP\) and \(mKP\)-solutions in Wronskian form. (English) Zbl 0766.35045
Reviewer: B.G.Konopelchenko (Novosibirsk)
Krichever construction of solutions to the super KP hierarchies. (English) Zbl 0746.58038
Differential geometric methods in theoretical physics, Proc. 19th Int. Conf., Rapallo/Italy 1990, Lect. Notes Phys. 375, 320-330 (1991).
Reviewer: I.J.Dorfman (Moskva)
Darboux transformations and solitons. (English) Zbl 0744.35045
Springer Series in Nonlinear Dynamics. Berlin etc.: Springer-Verlag. viii, 120 p. (1991).
Reviewer: W.Oevel (Loughborough)
On the structure and properties of the singularity manifold equations of the KP hierarchy. (English) Zbl 0734.58024
Reviewer: I.Barashenkov (Moskva)
Generalized Boussinesq equation and KdV equation — Painlevé properties, Bäcklund transformations and Lax pairs. (English) Zbl 0738.35088
Kac-Moody-Virasoro symmetries of integrable nonlinear evolution equations. (English) Zbl 0734.35115
Hamiltonian systems, transformation groups and spectral transform methods, Proc. CRM Workshop, Montréal/Can. 1989, 87-93 (1990).
Two-dimensional spectral transforms. (English) Zbl 0751.35031
Nonlinear evolution equations: integrability and spectral methods, Proc. Workshop, Como/Italy 1988, Proc. Nonlinear Sci., 41-52 (1990).
Reviewer: A.L.Edelson (Davis)
On generalisation of the Bäcklund-Calogero transformations for integrable equations. (English) Zbl 0695.35181
Supersymmetric extension of the Kadomtsev-Petviashvili hierarchy and the universal super Grassmann manifold. (English) Zbl 0675.58045
Conformal field theory and solvable lattice models, Symp., Kyoto/Jap. 1986, Adv. Stud. Pure Math. 16, 373-426 (1988).
Reviewer: D.Andrica
Geometrical interpretation of the bilinear equations of the KP hierarchy. (English) Zbl 0672.58047
Reviewer: H.Yamada
Infinite-dimensional homogeneous manifolds with translational symmetry and nonlinear partial differential equations. (English) Zbl 0644.58024
Kac-Moody-Virasoro symmetries of integrable nonlinear partial differential equations. (English) Zbl 0768.35067
Symmetries and nonlinear phenomena, Proc. Int. Sch. Appl. Math., Paipa/Colomb. 1988, CIF Ser. 9, 358-375 (1988).
A gauge theory for the Kadomtsev-Petviashvili system. (English) Zbl 0638.22010
Abstract analysis, Proc. 14th Winter Sch., Srnî/Czech. 1986, Suppl. Rend. Circ. Mat. Palermo, II. Ser. 14, 93-103 (1987).
Reviewer: W.Zimdahl
Symmetries and bi-Hamiltonian structures of 2+1 dimensional systems. (English) Zbl 0736.35121
Topics in soliton theory and exactly solvable nonlinear equations, Proc. Conf. Nonlinear Evol. Equations, Solitons, Inverse Scattering Transform, Oberwolfach/Ger. 1986, 1-19 (1987).
A gauge theory of the Kadomtsev-Petviashvili system. (English) Zbl 0624.58013
Reviewer: I.Ya.Dorfman
Nonlinear Schrödinger equation, Painlevé test, Bäcklund transformation and solutions. (English) Zbl 0573.35078
Reviewer: S.V.Duzhin
Hamiltonian structure of M. Sato’s hierarchy of Kadomtsev-Petviashvili equation. (English) Zbl 0555.35120
Reviewer: E.Malec
Soliton equations and the universal Grassmann manifold. Notes by M. Noumi. (Japanese) Zbl 0541.58001
Sophia Kokyuroku in Mathematics, 18. Tokyo: Sophia University, Department of Mathematics. IV, 131 p. (1984).
Reviewer: M.Muro
The complex WKB method in nonlinear equations. (Kompleksnyj metod VKB v nelinejnykh uravneniyakh). (Russian) Zbl 0449.58001
Nelinejnyj Analiz i ego Prilozheniya. Moskva: Izdatel’stvo “Nauka”. 384 p. R. 1.60 (1977).
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