Reply to: “Comment on: ‘Spherical Kadomtsev Petviashvili equation and nebulons for dust ion-acoustic waves with symbolic computation’ ” [Phys. Lett. A 361 (2007) 520]

Details Reply to: “Comment on: ‘Spherical Kadomtsev Petviashvili equation and nebulons for dust ion-acoustic waves with symbolic computation’ ” [Phys. Lett. A 361 (2007) 520] Reply to: “Comment on: ‘Spherical Kadomtsev Petviashvili equation and nebulons for dust ion-acoustic waves with symbolic computation’ ” [Phys. Lett. A 361 (2007) 520]

Feb 2007

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007phla..361..523g&link_type=abstract

Physics Letters A, Volume 361, Issue 6, p. 523-528.

Statistics

Computation

72

Nonlinear Phenomena: Waves, Wave Propagation, And Other Interactions, Solitons, Bgk Modes, Electrostatic Waves And Oscillations, Symbolic Computation, Solitons

Scientific paper

Dusty plasmas exist almost everywhere in the Universe and relevant nonlinear studies are encouragingly going to non-planar geometry. On our recent construction of a spherical Kadomtsev Petviashvili model for the dust-ion-acoustic waves in a cosmic dusty plasma [B. Tian, Y.-T. Gao, Phys. Lett. A 340 (2005) 243], Hong [W.P. Hong, Phys. Lett. A (2006), doi:10.1016/j.physleta.2006.11.021, in press] comments that certain interesting coordinate transformations exist, with presentation of a transformed equation (TE) and nebulon solutions. In this Reply, we point out that the TE is valuable to the studies on both cosmic plasmas and applied mathematics. We obtain an auto-Bäcklund transformation on the TE and more general nebulons. With series of pictures, we discuss nebulon structures out of the TE, and address that there are cosmic plasma systems for which the TE is valid. We remove a constraint set in that Comment so that the TE can be useful for the Saturn-F-ring-typed dusty plasmas as well.

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