Exact solutions for general variable-coefficient KdV equation

DOI10.1007/s11766-001-0005-3zbMath0988.35148OpenAlexW129926081MaRDI QIDQ5953357

Xi-Qiang Liu, Song Jiang

Publication date: 22 July 2002

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-001-0005-3

zbMATH Keywords

KdV equationdissipative lossmultisoliton solutionsnonuniformityPainleve II type equationsymmetry reductions

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Solutions to PDEs in closed form (35C05)

Related Items (1)

Analytical manner for abundant stochastic wave solutions of extended KdV equation with conformable differential operators

Cites Work

• Exact solutions of the variable coefficient KdV and SG type equations
• Auto-Bäcklund transformation and analytic solutions for general variable-coefficient KdV equation
• Slowly varying solitary waves. I. Korteweg-de Vries equation
• Algorithms for the Nonclassical Method of Symmetry Reductions
• Symmetries and differential equations

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