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      Group analysis and conservation laws of an integrable Kadomtsev–Petviashvili equation

      1 , 1 , 1
      Nonlinear Analysis: Modelling and Control
      Vilnius University Press

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          Abstract

          In this paper, an integrable KP equation is studied using symmetry and conservation laws. First, on the basis of various cases of coefficients, we construct the infinitesimal generators. For the special case, we get the corresponding geometry vector fields, and then from known soliton solutions we derive new soliton solutions. In addition, the explicit power series solutions are derived. Lastly, nonlinear self-adjointness and conservation laws are constructed with symmetries.

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          A new conservation theorem

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            Diversity of interaction solutions to the (2+1)-dimensional Ito equation

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              Solving the (3+1)-dimensional generalized KP and BKP equations by the multiple exp-function algorithm

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                Author and article information

                Journal
                Nonlinear Analysis: Modelling and Control
                Vilnius University Press
                1392-5113
                December 20 2018
                December 20 2018
                : 24
                : 1
                : 34-46
                Affiliations
                [1 ]School of Mathematics and Statistics, Hebei University of Economics and Business
                Article
                10.15388/NA.2019.1.3
                3dacbb47-2fdd-4575-8a18-911791eca641
                © 2018

                All content is freely available without charge to users or their institutions. Users are allowed to read, download, copy, distribute, print, search, or link to the full texts of the articles in this journal without asking prior permission of the publisher or the author. Articles published in the journal are distributed under a http://creativecommons.org/licenses/by/4.0/.

                History

                Linguistics & Semiotics,Social & Behavioral Sciences,Law,Mathematics,History,Philosophy

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