Bäcklund transformation, nonlinear superposition formula and solutions of the Calogero equation

DOI10.1016/J.PHYSLETA.2008.08.041zbMath1225.35223OpenAlexW1980696586MaRDI QIDQ644041

Yu-Fu Chen, Zhi Yong Zhang, Xue-Lin Yong

Publication date: 2 November 2011

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2008.08.041

zbMATH Keywords

exact solutionBäcklund transformationnonlinear superposition formulaCalogero equationWronskian determinant solution

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Exactly and quasi-solvable systems arising in quantum theory (81U15) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05)

Related Items (3)

Abundant explicit non-traveling wave solutions for the (2+1)-dimensional breaking soliton equation ⋮ On RF-pairs, Bäcklund transformations and linearization of nonlinear equations ⋮ New Non-Travelling Wave Solutions of Calogero Equation

Cites Work

• Constructing families of soliton-like solutions to a \((2+1)\)-dimensional breaking soliton equation using symbolic computation
• Wronskians, generalized Wronskians and solutions to the Korteweg-de Vries equation
• New family of overturning soliton solutions for a typical breaking soliton equation
• Painlevé test for the certain (2 + 1)-dimensional nonlinear evolution equations
• The Calogero-Bogoyavlenskii-Schiff equation in \(2+1\) dimensions
• Bäcklund Transformation of the Cylindrical KdV Equation
• Solving the Korteweg-de Vries equation by its bilinear form: Wronskian solutions

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