zbMath0877.35118MaRDI QIDQ4866648
B. G. Konopelchenko
Publication date: 26 February 1996
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Higher-order Davey-Stewartson equations,
Exact solutions of the Wick-type stochastic Kadomtsev-Petviashvili equations,
The semi-classical limit of Davey-Stewartson hierarchy,
Inverse spectral transform for the Harry Dym equation on the complex plane,
Solitons of curvature,
The Harry Dym equation on the complex plane: Inverse spectral transform and exact solutions,
Soliton solution of new \((2+1)\)-dimensional nonlinear partial differential equations,
The non-isospectral modified Kadomtsev-Petviashvili equation with self-consistent sources and its coupled system,
Lump Solutions for PDE's: Algorithmic Construction and Classification,
A \(2+1\) dimensional Volterra type system with nonzero boundary conditions via Dbar dressing method,
Transverse spectral instabilities in Konopelchenko–Dubrovsky equation,
New integrable (\(3+1\))-dimensional systems and contact geometry,
Lagrangian 3-form structure for the Darboux system and the KP hierarchy,
On the dispersionless Davey–Stewartson hierarchy: Zakharov–Shabat equations, twistor structure, and Lax–Sato formalism,
Dispersive estimates for rational symbols and local well-posedness of the nonzero energy NV equation,
Non-isospectral scattering problems: Painlevé truncation for hierarchies,
Quantization of the Kadomtsev-Petviashvili equation,
Elliptic solutions of Boussinesq type lattice equations and the elliptic \(N\)th root of unity,
On the integrability of a generalized Davey-Stewartson system,
The KP hierarchy in Miwa coordinates,
Inverse scattering transform in two spatial dimensions for the \(N\)-wave interaction problem with a dispersive term,
Solutions with functional parameters of \(2+1\)-dimensional integrable nonlinear equations. Two dimensional integrable generalization of the Kaup-Kupershmidt equation,
New solutions for the Wick-type 2-dimensional stochastic compound KdV equations,
Dispersive estimates for rational symbols and local well-posedness of the nonzero energy NV equation. II.,
Exact solutions for the Wick-type stochastic 2-dimensional KdV equations with dissipation,
Exact solutions of the Wick-type stochastic mKP equation,
Spectral problem for a two-component nonlinear Schrödinger equation in \(2 + 1\) dimensions: singular manifold method and Lie point symmetries,
The non-isospectral and variable-coefficient KP equation with self-consistent sources and new coupled system,
New exact solutions with functional parameters of the Nizhnik-Veselov-Novikov equation with constant asymptotic values at infinity,
The construction of exact solutions of two-dimensional integrable generalizations of Kaup-Kuperschmidt and Sawada-Kotera equations via \(\overline \partial\)-dressing method,
Asymptotic analysis of multilump solutions of the Kadomtsev-Petviashvili-I equation,
On the non-isospectral Kadomtsev-Petviashvili equation with self-consistent sources,
New lumps of Veselov-Novikov integrable nonlinear equation and new exact rational potentials of two-dimensional stationary Schrödinger equation via \(\bar \partial\)-dressing method,
A new multi-component integrable coupling and its application to isospectral and nonisospectral problems,
On the integrability of a new Davey-Stewartson type equation in \(2+1\) dimensions,
Gauge-invariant description of several \((2+1)\)-dimensional integrable nonlinear evolution equations,
Integrable equations and their evolutions based on intrinsic geometry of Riemann spaces,
Multi-soliton solutions of KP equation with integrable boundary via \(\overline{\partial}\)-dressing method,
Two-dimensional stationary Schrödinger equation via the ∂¯-dressing method: New exactly solvable potentials, wave functions, and their physical interpretation,
New solutions of two-dimensional integrable sine-Gordon equation generated by nontrivial singular boundaries,
\(D\) bar dressing and Sato theory,
Integration of nonlinear system of four waves with two velocities in (2 + 1) dimensions by the inverse scattering transform method,
Systematic method of generating new integrable systems via inverse Miura maps,
Integrable defects at junctions within a network,
On a (2+1)-dimensional Darboux system: integrable and geometric connections.,
Multidimensional localized solitons.,
Darboux transformation for MZM-I, II equations