The Cauchy problem for a two-dimensional generalized Kadomtsev-Petviashvili-I equation in anisotropic Sobolev spaces

Yan, W; Li, YS; Huang, JH; Duan, JQ

Yan, W (corresponding author), Henan Normal Univ, Sch Math & Informat Sci, Xinxiang 453007, Henan, Peoples R China.; Yan, W (corresponding author), Henan Normal Univ, Henan Engn Lab Big Data Stat Anal & Optimal Contr, Xinxiang 453007, Henan, Peoples R China.; Yan, W (corresponding author), IIT, Dept Appl Math, Chicago, IL 60616 USA.

ANALYSIS AND APPLICATIONS, 2020; 18 (3): 469

Abstract

The goal of this paper is three fold. First, we prove that the Cauchy problem for a generalized KP-I equation u(t) +vertical bar D-x vertical bar(alph......

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