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Solutions of an equation that lead to solutions of a modified Emden equation and a coupled Korteweg–deVries equation

1990; American Institute of Physics; Volume: 31; Issue: 5 Linguagem: Inglês

10.1063/1.528745

1527-2427

Ashis Basu, Dipankar Ray,

Advanced Topics in Algebra

In a recent paper, Moreira [Res. Rep. IF/UFRJ/83/25, Universidade Federal do Rio de Janeiro Inst. de Fisica, Cidade Univ., Ilha do Fundao, Rio de Janeiro, Brazil] obtained a nonlinear second-order differential equation that leads to the first integral of a modified Emden equation. He also obtained two particular solutions of his equation. This paper completely integrates Moreira’s equation and uses it to get a class of solutions of a coupled Korteweg–deVries (KdV) equation, recently studied by Guha Ray, Bagchi, and Sinha [J. Math. Phys. 27, 2558 (1986)].