Resonant multiple wave solutions, complexiton solutions and rogue waves of a generalized (3+1)-dimensional nonlinear wave in liquid with gas bubbles

DOI10.1080/17455030.2018.1528026zbMath1502.76021OpenAlexW2894701017MaRDI QIDQ5104316

Wen-Hao Liu, Yu-Feng Zhang

Publication date: 9 September 2022

Published in: Waves in Random and Complex Media (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17455030.2018.1528026

zbMATH Keywords

Bell polynomialrational breather wavelinear superposition principleresonant multiple wave solutionHirota bilinear form equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Solitary waves for incompressible inviscid fluids (76B25) Liquid-gas two-phase flows, bubbly flows (76T10)

Related Items (6)

Soliton solutions for some nonlinear partial differential equations in mathematical physics using He's variational method ⋮ Abundant rogue wave solutions for the \((2 + 1)\)-dimensional generalized Korteweg-de Vries equation ⋮ Abundant lump-type solutions and interaction solutions for a nonlinear \((3+1)\) dimensional model ⋮ Resonant multi-soliton, M-breather, M-lump and hybrid solutions of a combined pKP-BKP equation ⋮ Multiple rogue wave solutions of the (3+1)-dimensional Kadomtsev-Petviashvili-Boussinesq equation ⋮ Lump and interaction solutions to the \((3+1)\)-dimensional variable-coefficient nonlinear wave equation with multidimensional binary Bell polynomials

Cites Work

• Unnamed Item
• Rational solutions to a KdV-like equation
• Bäcklund transformation, infinite conservation laws and periodic wave solutions of a generalized (3+1)-dimensional nonlinear wave in liquid with gas bubbles
• Solving the \((3+1)\)-dimensional generalized KP and BKP equations by the multiple exp-function algorithm
• Nonlinear waves in bubbly liquids with consideration for viscosity and heat transfer
• On a direct procedure for the quasi-periodic wave solutions of the supersymmetric Ito's equation
• Nonlinear waves in liquids with gas bubbles with account of viscosity and heat transfer
• Linear superposition principle applying to Hirota bilinear equations
• Complexiton solutions to the Korteweg-de Vries equation
• Rogue waves for the coupled variable-coefficient fourth-order nonlinear Schrödinger equations in an inhomogeneous optical fiber
• Solitons for the (2+1)-dimensional Konopelchenko-Dubrovsky equations
• Mixed lump-kink solutions to the BKP equation
• Chaotic phenomena and fractional-order dynamics in the trajectory control of redundant manipulators
• Resonant soliton and complexiton solutions for \((3+1)\)-dimensional Boiti-Leon-Manna-Pempinelli equation
• Rogue waves for a variable-coefficient Kadomtsev-Petviashvili equation in fluid mechanics
• Linear superposition principle of hyperbolic and trigonometric function solutions to generalized bilinear equations
• Lump solutions to the Kadomtsev-Petviashvili equation
• Applications of linear superposition principle to resonant solitons and complexitons
• Resonant multiple wave solutions for a \((3+1)\)-dimensional nonlinear evolution equation by linear superposition principle
• Looking at a nonlinear inhomogeneous optical fiber through the generalized higher-order variable-coefficient Hirota equation
• Functional Fractional Calculus
• Quasi-periodic waves and an asymptotic property for the asymmetrical Nizhnik–Novikov–Veselov equation
• Solving the Korteweg-de Vries equation by its bilinear form: Wronskian solutions
• Symmetries of differential equations
• Equation for the three-dimensional nonlinear waves in liquid with gas bubbles
• Topological soliton solutions for three shallow water waves models
• Lump Solutions and Interaction Phenomenon for (2+1)-Dimensional Sawada–Kotera Equation
• Advances in Fractional Calculus

This page was built for publication: Resonant multiple wave solutions, complexiton solutions and rogue waves of a generalized (3+1)-dimensional nonlinear wave in liquid with gas bubbles