منابع مشابه
Another Complex Bateman Equation
A further class of complex covariant field equations is investigated. These equations possess several common features: they may be solved, or partially solved in terms of implicit functional relations, they possess an infinite number of inequivalent Lagrangians which vanish on the space of solutions of the equations of motion, they are invariant under linear transformations of the independent v...
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The general solution to the Complex Bateman equation is constructed. It is given in implicit form in terms of a functional relationship for the unknown function. The known solution of the usual Bateman equation is recovered as a special case. e-mail: [email protected] e-mail: [email protected].
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We discuss a class of evolution equations equivalent to the simplest Universal Field Equation, the so–called Bateman equation, and show that all of them possess (at least) biHamiltonian structure. The first few conserved charges are calculated.
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For over a century physicists have sought a mathematical theory that unites the dual, wave and corpuscle, behaviors that light exhibits. In the early twentieth century H. Bateman was studying a solution that uses wave functions with singularities to mark light quanta location in space and time as potential singularities do for material particles. He published an incomplete, mathematically obtus...
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ژورنال
عنوان ژورنال: Proceedings of the Glasgow Mathematical Association
سال: 1957
ISSN: 2040-6185,2051-2104
DOI: 10.1017/s2040618500033505