Painlevé analysis and hamiltonian structure of a new space-dependent KdV equation

  • S. Purkait
  • A. Roy Chowdhury


We deduce the Lax pair for a new space-dependent KdV equation,\(u_t = \tfrac{5}{4}\left( {u_{xxx} + 6uu_x } \right) + {{\eta u_x } \mathord{\left/ {\vphantom {{\eta u_x } {x^2 + {{\beta u} \mathord{\left/ {\vphantom {{\beta u} {x^3 }}} \right. \kern-\nulldelimiterspace} {x^3 }}}}} \right. \kern-\nulldelimiterspace} {x^2 + {{\beta u} \mathord{\left/ {\vphantom {{\beta u} {x^3 }}} \right. \kern-\nulldelimiterspace} {x^3 }}}}\), via the technique of Painlevé analysis. From it, infinitely many conservation laws are deduced and the symplectic structure is obtained.


Field Theory Elementary Particle Quantum Field Theory Symplectic Structure Hamiltonian Structure 
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Copyright information

© Plenum Publishing Corporation 1990

Authors and Affiliations

  • S. Purkait
    • 1
  • A. Roy Chowdhury
    • 1
  1. 1.High Energy Physics Division, Department of PhysicsJadavpur UniversityCalcuttaIndia

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