Bell-polynomial approach and soliton solutions for the Zhiber-Shabat equation and (2+1)-dimensional Gardner equation with symbolic computation
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Publication:1952343
DOI10.1007/s11071-012-0405-3zbMath1263.35177OpenAlexW2019110354MaRDI QIDQ1952343
Pan Wang, Yan Jiang, Min Li, Bo Tian, Yu-Feng Wang
Publication date: 30 May 2013
Published in: Nonlinear Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11071-012-0405-3
symbolic computationBäcklund transformationsoliton solutionZhiber-Shabat equationBell-polynomial approach(2+1)-dimensional Gardner equation
Navier-Stokes equations (35Q30) PDEs in connection with quantum mechanics (35Q40) Exponential and trigonometric functions (33B10) Soliton solutions (35C08)
Related Items (9)
Bäcklund transformations and soliton solutions for a \((2+1)\)-dimensional Korteweg-de Vries-type equation in water waves ⋮ Bäcklund transformation and \(N\)-shock-wave solutions for a (3+1)-dimensional nonlinear evolution equation ⋮ Bäcklund transformation, infinite conservation laws and periodic wave solutions of a generalized (3+1)-dimensional nonlinear wave in liquid with gas bubbles ⋮ The integral bifurcation method combined with factoring technique for investigating exact solutions and their dynamical properties of a generalized Gardner equation ⋮ An analysis of the Zhiber-Shabat equation including Lie point symmetries and conservation laws ⋮ Analytic solutions for the (2+1)-dimensional generalized sine-Gordon equations in nonlinear optics ⋮ Bäcklund transformations and soliton solutions for a \((3+1)\)-dimensional B-type Kadomtsev-Petviashvili equation in fluid dynamics ⋮ Lax pair, conservation laws, and multi-shock wave solutions of the DJKM equation with Bell polynomials and symbolic computation ⋮ Conservation laws and Darboux transformation for the coupled cubic-quintic nonlinear Schrödinger equations with variable coefficients in nonlinear optics
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