New exact solutions to KdV equations with variable coefficients or forcing
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Publication:1890321
DOI10.1007/BF02437295zbMath1061.35109MaRDI QIDQ1890321
Shida Liu, Qiang Zhao, Shikuo Liu, Zuntao Fu
Publication date: 3 January 2005
Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)
KdV equations (Korteweg-de Vries equations) (35Q53) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Solutions to PDEs in closed form (35C05)
Related Items (11)
Exact solutions of a KdV equation with variable coefficients via Exp-function method ⋮ New exact solutions to some variable coefficients problems ⋮ New Jacobi elliptic function-like solutions for the general KdV equation with variable coefficients ⋮ Application of Exp-function method to a KdV equation with variable coefficients ⋮ Dynamics of Rossby solitary waves with time-dependent mean flow via Euler eigenvalue model ⋮ The large-time development of the solution to an initial-value problem for the Korteweg-de Vries equation: IV. Time dependent coefficients ⋮ Painlevé analysis, auto-Bäcklund transformation and new analytic solutions for a generalized variable-coefficient Korteweg-de Vries (KdV) equation ⋮ Analytical solutions of KdV equation with relaxation effect of inhomogeneous medium ⋮ Traveling wave solutions and conservation laws of a generalized Kudryashov-Sinelshchikov equation ⋮ Analytic \(N\)-solitary-wave solution of a variable-coefficient Gardner equation from fluid dynamics and plasma physics ⋮ Soliton and periodic solutions for time-dependent coefficient non-linear equation
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