On periodic wave solutions with asymptotic behaviors to a \((3+1)\)-dimensional generalized B-type Kadomtsev-Petviashvili equation in fluid dynamics
type: Item
instance of: scholarly article
title: On periodic wave solutions with asymptotic behaviors to a \((3+1)\)-dimensional generalized B-type Kadomtsev-Petviashvili equation in fluid dynamics
zbMATH Open document ID: 1372.35249
author: Jian-Min Tu
author: Shou-Fu Tian
author: Mei-Juan Xu
author: Pan-Li Ma
author: Tian-Tian Zhang
publication date: 2017-08-03T00:00:00Z
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 35B10
Mathematics Subject Classification ID: 35C08
Mathematics Subject Classification ID: 76B25
Mathematics Subject Classification ID: 35B40
zbMATH DE Number: 6755823
zbMATH Keywords: \((3+1)\)-dimensional generalized B-type Kadomtsev-Petviashvili equation
zbMATH Keywords: Bell polynomials
zbMATH Keywords: Riemann theta function
zbMATH Keywords: soliton solution
zbMATH Keywords: periodic solution
describes a project that uses: PDEBellII
MaRDI profile type: Publication
full work available at URL: j.camwa.2016.09.003
OpenAlex ID: W2523692838
cites work: Q3995225
cites work: Q4002235
cites work: Q4537527
cites work: Symmetry-based algorithms to relate partial differential equations: I. Local symmetries
cites work: An integrable symmetric (2+1)-dimensional Lotka–Volterra equation and a family of its solutions
cites work: The Painlevé property for partial differential equations
cites work: A direct method of calculating periodic wave solutions to nonlinear evolution equations. I: Exact two-periodic wave solution
cites work: Quasi-periodic waves and an asymptotic property for the asymmetrical Nizhnik–Novikov–Veselov equation
cites work: A KIND OF EXPLICIT QUASI-PERIODIC SOLUTION AND ITS LIMIT FOR THE TODA LATTICE EQUATION
cites work: EXACT ONE-PERIODIC AND TWO-PERIODIC WAVE SOLUTIONS TO HIROTA BILINEAR EQUATIONS IN (2+1) DIMENSIONS
cites work: Linear superposition principle applying to Hirota bilinear equations
cites work: \textit{PDEBellII}: a Maple package for finding bilinear forms, bilinear Bäcklund transformations, Lax pairs and conservation laws of the KdV-type equations
cites work: Riemann theta functions periodic wave solutions and rational characteristics for the nonlinear equations
cites work: A kind of explicit Riemann theta functions periodic waves solutions for discrete soliton equations
cites work: Riemann theta functions periodic wave solutions and rational characteristics for the \((1+1)\)-dimensional and \((2+1)\)-dimensional Itô equation
cites work: On the integrability of a generalized variable-coefficient Kadomtsev–Petviashvili equation
cites work: On the Integrability of a Generalized Variable‐Coefficient Forced Korteweg‐de Vries Equation in Fluids
cites work: Wronskian and Grammian solutions to a \((3 + 1)\)-dimensional generalized KP equation
cites work: On the constrained B-type Kadomtsev–Petviashvili hierarchy: Hirota bilinear equations and Virasoro symmetry
cites work: Transformation groups of soliton equations. IV: A new hierarchy of soliton equations of KP-type
cites work: Two B-type Kadomtsev-Petviashvili equations of \((2+1)\) and \((3+1)\) dimensions: multiple soliton solutions, rational solutions and periodic solutions
cites work: Prolongation structures and matter-wave solitons in \(F=1\) spinor Bose-Einstein condensate with time-dependent atomic scattering lengths in an expulsive harmonic potential
cites work: Multiple-soliton solutions for a \((3 + 1)\)-dimensional generalized KP equation
cites work: Pfaffianized systems for a generalized Kadomtsev-Petviashvili equation
cites work: On the quasi-periodic wave solutions and asymptotic analysis to a \((3+1)\)-dimensional generalized Kadomtsev-Petviashvili equation
cites work: Multiple wave solutions and auto-Bäcklund transformation for the \((3+1)\)-dimensional generalized B-type Kadomtsev-Petviashvili equation
cites work: On the Lie algebras, generalized symmetries and Darboux transformations of the fifth-order evolution equations in shallow water
cites work: Lie symmetries and nonlocally related systems of the continuous and discrete dispersive long waves system by geometric approach
cites work: On the combinatorics of the HirotaD-operators
cites work: Classical Darboux transformations and the KP hierarchy
DOI: 10.1016/J.CAMWA.2016.09.003
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 6755823