Guo, Y. F.; Ling, L. M.; Li, D. L. Soliton solutions for the Wick-type stochastic KP equation. (English) Zbl 1257.35157 Abstr. Appl. Anal. 2012, Article ID 327682, 9 p. (2012). Summary: The Wick-type stochastic KP equation is researched. The stochastic single-soliton solutions and stochastic multisoliton solutions are shown by using the Hermite transform and Darboux transformation. MSC: 35Q51 Soliton equations 35C08 Soliton solutions 35R60 PDEs with randomness, stochastic partial differential equations 35A22 Transform methods (e.g., integral transforms) applied to PDEs PDFBibTeX XMLCite \textit{Y. F. Guo} et al., Abstr. Appl. Anal. 2012, Article ID 327682, 9 p. (2012; Zbl 1257.35157) Full Text: DOI References: [1] E. Weinan, X. Li, and E. Vanden-Eijnden, “Some recent progress in multiscale modeling,” in Multiscale Modelling and Simulation, vol. 39 of Lecture Notes in Computational Science and Engineering, pp. 3-21, Springer, Berlin, Germany, 2004. · Zbl 1419.74252 · doi:10.1007/978-3-642-18756-8_1 [2] P. Imkeller and A. H. Monahan, “Conceptual stochastic climate models,” Stochastics and Dynamics, vol. 2, no. 3, pp. 311-326, 2002. · Zbl 1022.86001 · doi:10.1142/S0219493702000443 [3] B. B. Kadomtsev and V. I. Petviashvili, “Stability of combined waves in weakly dispersing media,” Doklady Akademii Nauk SSSR, vol. 192, no. 4, pp. 753-756, 1970. · Zbl 0217.25004 [4] R. Hirota, The Direct Method in Soliton Theory, Cambridge University Press, Cambridge, UK, 2004. · Zbl 1099.35111 · doi:10.1017/CBO9780511543043 [5] Z. Dai, Y. Huang, X. Sun, D. Li, and Z. Hu, “Exact singular and non-singular solitary-wave solutions for Kadomtsev-Petviashvili equation with p-power of nonlinearity,” Chaos, Solitons and Fractals, vol. 40, no. 2, pp. 946-951, 2009. · Zbl 1197.35221 · doi:10.1016/j.chaos.2007.08.050 [6] V. B. Matveev and M. A. Salle, Darboux Transformations and Solitons, Springer, Berlin, Germany, 1991. · Zbl 0744.35045 [7] H. Holden, B. Øksendal, J. Ubøe, and T. Zhang, Stochastic Partial Differential Equations: A Modeling, White Noise Functional Approach, Birkhäuser, Basel, Switzerland, 1996. · Zbl 0860.60045 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.