The Investigation into New Equations in (2 + 1) Dimensions

DOI10.2991/JNMP.2001.8.S.47zbMath0976.35071OpenAlexW2146899165MaRDI QIDQ2732495

Songyu Yu, Kouichi Toda

Publication date: 2 January 2002

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2991/jnmp.2001.8.s.47

zbMATH Keywords

Lax pair\((2+1)\)-dimensional CKdV equationCalogero Korteweg-de Vries equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53)

Related Items (3)

Exact three-wave solutions for the \((3+1)\)-dimensional Boiti-Leon-Manna-Pempinelli equation ⋮ GELFAND–DICKEY ALGEBRA AND HIGHER SPIN SYMMETRIES ON T² = S¹ × S¹ ⋮ Multiple-lump waves for a (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation arising from incompressible fluid

Cites Work

• A scheme for integrating the nonlinear equations of mathematical physics by the method of the inverse scattering problem. I
• Lie and non-Lie symmetry and some exact solutions of the self-dual equations
• Relationships between differential substitutions and Hamiltonian structures of the Korteweg-de Vries equation
• The investigation into the Schwarz–Korteweg–de Vries equation and the Schwarz derivative in (2+1) dimensions
• OVERTURNING SOLITONS IN NEW TWO-DIMENSIONAL INTEGRABLE EQUATIONS
• Reduction technique for matrix nonlinear evolution equations solvable by the spectral transform
• N-soliton solutions to a -dimensional integrable equation
• Lax Pairs, Painlevé Properties and Exact Solutions of the Calogero Korteweg-de Vries Equation and a New (2 + 1)-Dimensional Equation
• Integrals of nonlinear equations of evolution and solitary waves

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