Singular solutions of the KdV equation and the inverse scattering method

DOI10.1007/BF02107228zbMath0599.35126OpenAlexW2068992922MaRDI QIDQ1080081

V. A. Arkad'ev, M. K. Polivanov, A. K. Pogrebkov

Publication date: 1985

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02107228

zbMATH Keywords

inverse scattering transformsolvabilityinteracting particlessingular initial dataKdV-equation

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Initial value problems for nonlinear higher-order PDEs (35G25) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items

Moutard transform approach to generalized analytic functions with contour poles, Commutation Methods Applied to the mKdV-Equation, Rational \(KP\) and \(mKP\)-solutions in Wronskian form, Singular soliton operators and indefinite metrics

Cites Work

• Unnamed Item
• Unnamed Item
• Application of inverse scattering method to singular solutions of nonlinear equations. I
• Application of inverse scattering method to singular solutions of nonlinear equations. II
• Application of inverse scattering method to singular solutions of nonlinear equations. III
• On a class of polynomials connected with the Korteweg-de Vries equation
• Singular solitons: An example of a sinh-Gordon equation
• Applications of a commutation formula
• Relationships among Inverse Method, Backlund Transformation and an Infinite Number of Conservation Laws
• Solitons and rational solutions of nonlinear evolution equations
• The Inverse Problem in the Quantum Theory of Scattering
• Rational and elliptic solutions of the korteweg-de vries equation and a related many-body problem
• Method for Solving the Korteweg-deVries Equation
• ASSOCIATED STURM-LIOUVILLE SYSTEMS