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Painleve Properties and Solution of Revised Camassa-Holm Equation
revised Camassa-Holm equation standard cut-ex pansion non-standard cut-expansion precise solution
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2012/9/24
Expansion of Painlevé is one of most effictive methods for solving non-linear partial differential equations. In this paper, using the Painlevé standard and non-standard cut-expansion as well as Maple...
Toda Molecule and Tomimatsu-Sato Solution $\sim$ Toward the complete proof of Nakamura's conjecture$\sim$
Toda Molecule Tomimatsu-Sato Solution $\sim$ complete proof of Nakamura's conjecture$\sim$
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2011/1/18
We discuss the Nakamura’s conjecture stating that the Tomimatsu-Sato black hole solution with deformation parameter n is composed of the special solutions of the Toda molecule equation at the n-th lat...
Bogoliubov Renormalization Group and Symmetry of Solution in Mathematical Physics
Bogoliubov Renormalization Group Mathematical Physics
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2010/11/2
Evolution of the concept known in the theoretical physics as the Renormalization Group (RG) is presented. The corresponding symmetry, that has been first introduced in QFT in mid-fifties, is a contin...