From the operator KP equation to scalar and matrix-valued solutions
From MaRDI portal
Publication:6649510
DOI10.1090/conm/807/16171MaRDI QIDQ6649510
Cornelia Schiebold, Egmont Porten
Publication date: 6 December 2024
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Soliton solutions (35C08)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- KP solitons and total positivity for the Grassmannian
- Solitons of the sine-Gordon equation coming in clusters.
- Cauchy-type determinants and integrable systems
- Matrix solutions of a noncommutative KP equation and a noncommutative mKP equation
- Limits of soliton solutions
- A direct method for studying soliton equations
- KP Solitons and the Grassmannians
- On the degenerate soliton solutions of the focusing nonlinear Schrödinger equation
- On a direct approach to quasideterminant solutions of a noncommutative KP equation
- Soliton solutions of the Kadomtsev-Petviashvili II equation
- Classification of the line-soliton solutions of KPII
- On the construction of the KP line-solitons and their interactions
- EXPLICIT SOLUTION FORMULAS FOR THE MATRIX-KP
- Soliton Solutions of the KP Equation and Application to Shallow Water Waves
- Tensor products and elementary operators.
- Resonantly interacting solitary waves
- Nonlinear equations in soliton physics and operator ideals
- How and Why to Solve the Operator Equation AX −XB = Y
- A novel noncommutative KdV-type equation, its recursion operator, and solitons
- Young diagrams and N-soliton solutions of the KP equation
- Matrix Kadomtsev Petviashvili equation: matrix identities and explicit non-singular solutions
- Asymptotics for the multiple pole solutions of the nonlinear Schrödinger equation
- ON THE 2-SOLITON ASYMPTOTICS FOR THE d x d-MATRIX KORTEWEG-DE VRIES EQUATION
- Solution formulas for the two-dimensional Toda lattice and particle-like solutions with unexpected asymptotic behaviour
- Matrix Korteweg-de Vries and modified Korteweg-de Vries hierarchies: Noncommutative soliton solutions
- On realizations of solutions of the KdV equation by determinants on operator ideals
- The Hasse-Weil Bound and Integrability Detection in Rational Maps
- Multisoliton solutions of the matrix KdV equation
- Construction of soliton solutions of the matrix modified Korteweg-de Vries equation
- On the asymptotical description of soliton solutions to the matrix modified Korteweg-de Vries equation
This page was built for publication: From the operator KP equation to scalar and matrix-valued solutions