New kinds of solutions to Gardner equation
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Publication:1878044
DOI10.1016/S0960-0779(03)00383-7zbMath1046.35097MaRDI QIDQ1878044
Zuntao Fu, Shida Liu, Shikuo Liu
Publication date: 19 August 2004
Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)
Related Items (37)
BÄCKLUND TRANSFORMATION AND DIVERSE EXACT EXPLICIT SOLUTIONS OF THE FRACTAL COMBINED KdV–mKdV EQUATION ⋮ Qualitative and quantitative analysis of nonlinear dynamics by the complete discrimination system for polynomial method ⋮ Quasi-periodic, chaotic and travelling wave structures of modified Gardner equation ⋮ New solitons and kink solutions for the Gardner equation ⋮ A generalized fractional sub-equation method for fractional differential equations with variable coefficients ⋮ Construction of non-travelling wave solutions for the generalized variable-coefficient Gardner equation ⋮ Application of the \(\frac{G^\prime}{G}\)-expansion to travelling wave solutions of the Broer-Kaup and the approximate long water wave equations ⋮ Modified method of simplest equation for obtaining exact solutions of the Zakharov-Kuznetsov equation, the modified Zakharov-Kuznetsov equation, and their generalized forms ⋮ Application of residual power series method to fractional coupled physical equations arising in fluids flow ⋮ A novel approach to find exact solutions of fractional evolution equations with non-singular kernel derivative ⋮ Breather-type and multi-wave solutions for \(( 2 + 1 )\)-dimensional nonlocal Gardner equation ⋮ Periodic structures of atmospheric internal gravity wave under the influence of air-sea interaction ⋮ Application of \(\frac{G^{\prime }}{G}\)-expansion method to two nonlinear evolution equations ⋮ New exact solutions to some variable coefficients problems ⋮ A quartic trigonometric tension B‐spline finite element method for solving Gardner equation ⋮ Double-Parameter Solutions of Projective Riccati Equations and Their Applications ⋮ Persistence of solitary wave solutions of singularly perturbed Gardner equation ⋮ Existence of traveling wave solutions for the perturbed modefied Gardner equation ⋮ Existence of single-peak solitary waves and double-peaks solitary wave of Gardner equation with Kuramoto-Sivashinsky perturbation ⋮ Soliton solutions, Bäcklund transformation and Wronskian solutions for the extended \((2+1)\)-dimensional Konopelchenko-Dubrovsky equations in fluid mechanics ⋮ Study of the Gardner equation with homogeneous boundary conditions via fourth order modified cubic B-Spline collocation method ⋮ Exact traveling wave solutions of the Gardner equation by the improved \(\tan\left( \Theta \left( \vartheta\right)\right)\)-expansion method and the wave ansatz method ⋮ Hyperbolic and trigonometric solutions for some nonlinear evolution equations ⋮ Exact solutions to the sine-Gordon-type equations ⋮ Quasi-periodic and non-periodic waves in the (2 + 1)-dimensional generalized Broer-Kaup system ⋮ Exact traveling wave solutions for the celebrated Gardner model and the nonlinear Klein-Gordon system by means of the celebrated unified method ⋮ Symbolic computation and construction of soliton-like solutions for a (2+1)-dimensional breaking soliton equation ⋮ New exact solutions to the generalized coupled Hirota--Satsuma KdV system ⋮ Lump-type solutions and interaction phenomenon to the (2+1)-dimensional breaking soliton equation ⋮ The bifurcations of solitary and kink waves described by the Gardner equation ⋮ Exact solutions for a generalized KdV-mkdv equation with variable coefficients ⋮ Solitons, chaos and fractals in the \((2 + 1)\)-dimensional dispersive long wave equation ⋮ Analytic \(N\)-solitary-wave solution of a variable-coefficient Gardner equation from fluid dynamics and plasma physics ⋮ The analysis of operator splitting for the Gardner equation ⋮ A group theoretic analysis of the generalised Gardner equation with arbitrary order nonlinear terms ⋮ The orbital stability of solitary wave solutions for the generalized Gardner equation and the influence caused by the interactions between nonlinear terms ⋮ Exponential B-spline collocation solutions to the Gardner equation
Cites Work
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