A \(2+1\) dimensional Volterra type system with nonzero boundary conditions via Dbar dressing method
From MaRDI portal
Publication:6059937
DOI10.1007/s11071-022-07855-zzbMath1523.35117OpenAlexW4296967416MaRDI QIDQ6059937
Publication date: 2 November 2023
Published in: Nonlinear Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11071-022-07855-z
explicit solutionsnonzero boundary conditions\(2+1\) dimensional Volterra type systemDbar dressing method
Soliton equations (35Q51) Systems of nonlinear integral equations (45G15) Volterra integral equations (45D05) Soliton solutions (35C08)
Cites Work
- Unnamed Item
- One variant of a \((2+1)\)-dimensional Volterra system and its \((1+1)\)-dimensional reduction
- The AB equations and the \(\bar\partial\)-dressing method in semi-characteristic coordinates
- Rational and semi-rational solutions of the Kadomtsev-Petviashvili-based system
- The inverse scattering transform for the time-dependent Schrödinger equation and Kadomtsev-Petviashvili equation
- Construction of higher-dimensional nonlinear integrable systems and of their solutions
- The D-bar approach to inverse scattering and nonlinear evolutions
- Decomposition of a \(2 + 1\)-dimensional Volterra type lattice and its quasi-periodic solutions
- Bilinear Bäcklund transformation, soliton and periodic wave solutions for a \((3 + 1)\)-dimensional variable-coefficient generalized shallow water wave equation
- Generalized Darboux transformation and parameter-dependent rogue wave solutions to a nonlinear Schrödinger system
- Multi-soliton solutions of KP equation with integrable boundary via \(\overline{\partial}\)-dressing method
- New solutions to the differential-difference KP equation
- Dbar-dressing method for the Gerdjikov-Ivanov equation with nonzero boundary conditions
- A three-wave interaction model with self-consistent sources: the \(\overline{\partial}\)-dressing method and solutions
- Rogue waves generation through multiphase solutions degeneration for the derivative nonlinear Schrödinger equation
- On the Inverse Scattering Transform for the Kadomtsev-Petviashvili Equation
- Inverse Spectral Transform for the Nonlinear Evolution Equation Generating the Davey-Stewartson and Ishimori Equations
- Application of dressing method for long wave–short wave resonance interaction equation
- The non-local delta problem and (2+1)-dimensional soliton equations
- The construction of exact multiple pole solutions of some (2+1)-dimensional integrable nonlinear evolution equations via the -dressing method
- Inverse Spectral Transform for the Modified Kadomtsev-Petviashvili Equation
- Remarks on matrix hierarchies, d bar dressing, and the spectral transform
- On a Volterra system
- Similarity reduction of a (2+1) Volterra system
- Linear spectral problems, non-linear equations and the δ-method
- A hierarchy of coupled evolution equations with self-consistent sources and the dressing method
- The ∂̄-dressing method and soliton solutions for the three-component coupled Hirota equations
- Dbar‐approach to coupled nonlocal NLS equation and general nonlocal reduction
- Explicit solutions and Darboux transformations of a generalized D-Kaup-Newell hierarchy
- Interaction dynamics of hybrid solitons and breathers for extended generalization of Vakhnenko equation
- Soliton, breather and rogue wave solutions of the coupled Gerdjikov-Ivanov equation via Darboux transformation