Introduction
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Publication:5901481
DOI10.1007/978-3-540-88111-7_1zbMath1161.35300OpenAlexW4251561302WikidataQ61835403 ScholiaQ61835403MaRDI QIDQ5901481
Publication date: 12 March 2009
Published in: Integrability (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-540-88111-7_1
History of mathematics in the 20th century (01A60) KdV equations (Korteweg-de Vries equations) (35Q53) History of partial differential equations (35-03)
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A family of wave equations with some remarkable properties ⋮ A geometric perspective on the generalized Cobb-Douglas production functions ⋮ Isospectral deformation of the reduced quasi-classical self-dual Yang-Mills equation
Cites Work
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- On quasi-triviality and integrability of a class of scalar evolutionary PDEs
- On Hamiltonian perturbations of hyperbolic systems of conservation laws. II: Universality of critical behaviour
- Recursion operators and bi-Hamiltonian structures in multidimensions. II
- Lax operator algebras
- The reduction problem and the inverse scattering method
- Complete biorthogonal systems in Banach spaces
- Extension of the module of invertible transformations. Classification of integrable systems
- Nijenhuis G-manifolds and Lenard bicomplexes: A new approach to KP systems
- Hamiltonian operators and algebraic structures related to them
- The periodic problem for the Korteweg-de Vries equation
- A scheme for integrating the nonlinear equations of mathematical physics by the method of the inverse scattering problem. I
- On an explicitly soluble system of nonlinear differential equations related to certain Toda lattices
- On the integrability of homogeneous scalar evolution equations
- Birkhoff normal form for some nonlinear PDEs
- On asymptotically equivalent shallow water wave equations
- Integrable ODEs on associative algebras
- On universality of critical behavior in the focusing nonlinear Schrödinger equation, elliptic umbilic catastrophe and the Tritronquée solution to the Painlevé-I equation
- Andrew Lenard: a mystery unraveled
- A Higher-Order Water-Wave Equation and the Method for Solving It
- Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
- On the Inverse Scattering Transform for the Kadomtsev-Petviashvili Equation
- Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
- Method for Solving the Korteweg-deVries Equation
- Classification of the line-soliton solutions of KPII
- The Painlevé property for partial differential equations
- Symmetries and Integrability
- A symmetry approach to exactly solvable evolution equations
- Hamiltonian theory over noncommutative rings and integrability in multidimensions
- Korteweg‐devries equation and generalizations. VI. methods for exact solution
- Nonlinear differential−difference equations
- Prolongation structures of nonlinear evolution equations
- ASYMPTOTIC BEHAVIOUR OF THE RESOLVENT OF STURM-LIOUVILLE EQUATIONS AND THE ALGEBRA OF THE KORTEWEG-DE VRIES EQUATIONS
- Evolution equations possessing infinitely many symmetries
- A simple model of the integrable Hamiltonian equation
- The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
- Perturbative symmetry approach
- Asymptotic Integrability of Water Waves
- On construction of recursion operators from Lax representation
- On the Toda Lattice. II: Inverse-Scattering Solution
- Korteweg-de Vries Equation and Generalizations. I. A Remarkable Explicit Nonlinear Transformation
- Integrals of nonlinear equations of evolution and solitary waves
- On integrability of systems of evolution equations
- On Classification of Integrable Nonevolutionary Equations
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