Inverse scattering problem for vector fields and the Cauchy problem for the heavenly equation
نویسندگان
چکیده
منابع مشابه
Inverse Scattering Problem for Vector Fields and the Cauchy Problem for the Heavenly Equation
We solve the inverse scattering problem for multidimensional vector fields and we use this result to construct the formal solution of the Cauchy problem for the second heavenly equation of Plebanski, a scalar nonlinear partial differential equation in four dimensions relevant in General Relativity, which arises from the commutation of multidimensional Hamiltonian vector fields.
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We solve the inverse scattering problem for multidimensional vector fields and we use this result to construct the formal solution of the Cauchy problem for the second heavenly equation of Plebanski, a scalar nonlinear partial differential equation in four dimensions relevant in General Relativity, which arises from the commutation of multidimensional Hamiltonian vector fields.
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ژورنال
عنوان ژورنال: Physics Letters A
سال: 2006
ISSN: 0375-9601
DOI: 10.1016/j.physleta.2006.07.011