Bäcklund transformation, infinite conservation laws and periodic wave solutions to a generalized \((2+1)\)-dimensional Boussinesq equation

From MaRDI portal
Publication:282041

DOI10.1016/j.nonrwa.2016.01.019zbMath1344.37077OpenAlexW2307604938MaRDI QIDQ282041

Mei-Juan Xu, Shou-Fu Tian, Jian-Min Tu, Tian-Tian Zhang

Publication date: 11 May 2016

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2016.01.019



Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).


Related Items (35)

Dynamics of kink solitary waves and lump waves with interaction phenomena in a generalized (3+1)-dimensional Kadomtsev–Petviashvili–Boussinesq equationSolitons to rogue waves transition, lump solutions and interaction solutions for the (3+1)-dimensional generalized B-type Kadomtsev–Petviashvili equation in fluid dynamicsDynamics of lump solutions, lump-kink solutions and periodic lump solutions in a (3+1)-dimensional generalized Jimbo–Miwa equationOptical solitons of space-time fractional Fokas-Lenells equation with two versatile integration architecturesAnalysis on lump, lumpoff and rogue waves with predictability to the \((2 + 1)\)-dimensional B-type Kadomtsev-Petviashvili equationResonant optical solitons of nonlinear Schrödinger equation with dual power law nonlinearityMulti-soliton, rogue wave and periodic wave solutions of generalized \((2+1)\) dimensional Boussinesq equationOn quasi-periodic waves and rogue waves to the (4+1)-dimensional nonlinear Fokas equationIntegrability of a generalized (2+1)-dimensional soliton equation via Bell polynomialsThe solitary waves, quasi-periodic waves and integrability of a generalized fifth-order Korteweg-de Vries equationLie symmetry analysis, conservation laws and analytical solutions for a generalized time-fractional modified KdV equationOptical dark and dark-singular soliton solutions of (1+2)-dimensional chiral nonlinear Schrodinger’s equationLie point symmetries, conservation laws, and analytical solutions of a generalized time-fractional Sawada–Kotera equationA variety of exact solutions to (2+1)-dimensional schrödinger equationLie symmetries, conservation laws and analytical solutions for two-component integrable equationsLie symmetry analysis, conservation laws and analytic solutions of the time fractional Kolmogorov-Petrovskii-Piskunov equationQuasiperiodic waves, solitary waves and asymptotic properties for a generalized \((3+1)\)-dimensional variable-coefficient B-type Kadomtsev-Petviashvili equationLie symmetry analysis, conservation laws and analytical solutions for the constant astigmatism equationIntegrability, soliton solutions and modulation instability analysis of a (2+1)-dimensional nonlinear Heisenberg ferromagnetic spin chain equationOn the solitary waves, breather waves and rogue waves to a generalized \((3+1)\)-dimensional Kadomtsev-Petviashvili equationSpace-time fractional Rosenou-Haynam equation: Lie symmetry analysis, explicit solutions and conservation lawsLie symmetry analysis, conservation laws and analytical solutions of the time-fractional thin-film equationSolitary waves, homoclinic breather waves and rogue waves of the (3 + 1)-dimensional Hirota bilinear equationLIE SYMMETRY ANALYSIS, CONSERVATION LAWS AND EXACT SOLUTIONS OF FOURTH-ORDER TIME FRACTIONAL BURGERS EQUATIONSolitary Wave and Quasi-Periodic Wave Solutions to a (3+1)-Dimensional Generalized Calogero-Bogoyavlenskii-Schiff EquationRogue waves, bright-dark solitons and traveling wave solutions of the \((3+1)\)-dimensional generalized Kadomtsev-Petviashvili equationCharacteristics of solitary wave, homoclinic breather wave and rogue wave solutions in a (2+1)-dimensional generalized breaking soliton equationLump-type solutions and interaction solutions in the (3+1)-dimensional potential Yu-Toda-Sasa-Fukuyama equationBäcklund transformation, rogue wave solutions and interaction phenomena for a \((3+1)\)-dimensional B-type Kadomtsev-Petviashvili-Boussinesq equationCharacteristics of the solitary waves and lump waves with interaction phenomena in a \((2+1)\)-dimensional generalized Caudrey-Dodd-Gibbon-Kotera-Sawada equationBäcklund transformations, nonlocal symmetries and soliton-cnoidal interaction solutions of the \((2+1)\)-dimensional Boussinesq equationLie symmetry analysis, conservation laws and analytical solutions of a time-fractional generalized KdV-type equation*General lump solutions, lumpoff solutions, and rogue wave solutions with predictability for the \((2+1)\)-dimensional Korteweg-de Vries equationNonlocal symmetries, conservation laws and interaction solutions for the classical Boussinesq-Burgers equationObservation of resonant solitons and associated integrable properties for nonlinear waves


Uses Software


Cites Work


This page was built for publication: Bäcklund transformation, infinite conservation laws and periodic wave solutions to a generalized \((2+1)\)-dimensional Boussinesq equation