Solution of the Cauchy problem for the Boiti-Leon-Pempinelli equation

DOI10.1007/BF02072003zbMath0941.35091MaRDI QIDQ1817673

A. K. Pogrebkov, T. I. Garagash

Publication date: 13 August 2000

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Cauchy problemJost solutionsintegrals of motionKlein-Gordon differential operatornonlinear Boiti-Leon-Pempinelli equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Second-order nonlinear hyperbolic equations (35L70) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

Related Items (2)

Commutator identities on associative algebras and the integrability of nonlinear revolution equations ⋮ Point-symmetry pseudogroup, Lie reductions and exact solutions of Boiti-Leon-Pempinelli system

Cites Work

• Unnamed Item
• Resolvent approach for two-dimensional scattering problems. Application to the nonstationary Schrödinger problem and the KPI equation
• Some new methods and results in the theory of \((2+1)\)-dimensional integrable equations
• Scattering problem for the differential operator \(\partial_ x\partial_ y+1+a(x,y)\partial_ y+b(x+y)\)
• Integrable two-dimensional generalisation of the sine- and sinh-Gordon equations
• Solutions of the KPI equation with smooth initial data

This page was built for publication: Solution of the Cauchy problem for the Boiti-Leon-Pempinelli equation