Multi-parametric families of real and non singular solutions of the Kadomtsev-Petviasvili I equation

Author:

GAİLLARD Pierre

Publisher

Universal Journal of Mathematics and Applications

Reference31 articles.

1. \bibitem{Kadomtsev} B.B.~Kadomtsev, V.I.~Petviashvili, \newblock{On the stability of solitary waves in weakly dispersing media, } \newblock{Sov. Phys. Dokl., V. 15, N. 6, 539-541, 1970}

2. \bibitem{Ablowitz1} M.J.~Ablowitz, H.~Segur \newblock{On the evolution of packets of water waves, } \newblock{ J. Fluid Mech., V. 92, 691-715, 1979}

3. \bibitem{Pelinovsky} D.E.~Pelinovsky, Y.A.~Stepanyants, Y.A.~Kivshar, \newblock{Self-focusing of plane dark solitons in nonlinear defocusing media, } \newblock{ Phys. Rev. E, V. 51, 5016-5026, 1995}

4. \bibitem{Dryuma} V.S.~Dryuma, \newblock{On analytical solutions of the two-dimensional Korteweg–de Vries equation, } \newblock{Pisma Zh. ´Eksp. Teor. Fiz., V. 19, N. 12, 219–225, 1973}

5. \bibitem{Manakov} S.V.~Manakov, V.E.~Zakharov, L.A.~Bordag, V.B.~Matveev, \newblock{Two-dimensional solitons of the Kadomtsev-Petviashvili equation and their interaction, } \newblock{Phys. Letters, V. 63A, N. 3, 205-206, 1977}

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