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Abundant solutions of an extended KPII equation combined with a new fourth-order term

Zhang, Liqin*; Ma, Wen Xiu*; Huang, Yehui
Science Citation Index Expanded
浙江师范大学; 西北大学

摘要

An extension of the KPII equation is studied. Adding a new fourth-order derivative term and some second-order derivative terms, we formulate an extended KPII equation. Different types of solutions of the extended equation are obtained by the Hirota bilinear method, and the presented solutions include soliton solutions, lump solutions and interaction solutions. Their dynamical behaviors are analyzed through plots.

关键词

Hirota's bilinear form KPII equation solitary solution lump solution interaction solution