New types of localized coherent structures in the Bogoyavlenskii-Schiff equation

DOI10.1007/s10773-006-9139-7zbMath1119.81066OpenAlexW2059453583MaRDI QIDQ870793

Yan-Ze Peng

Publication date: 15 March 2007

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10773-006-9139-7

zbMATH Keywords

the Bogoyavlenskii-Schiff equationthe localized coherent structureThe singular structure analysis

Mathematics Subject Classification ID

Groups and algebras in quantum theory and relations with integrable systems (81R12) Coherent states (81R30) Riemann-Hilbert problems in context of PDEs (35Q15)

Related Items (8)

Multiple-soliton solutions for the Calogero-Bogoyavlenskii-Schiff, Jimbo-Miwa and YTSF equations ⋮ Some singular solutions and their limit forms for generalized Calogero-Bogoyavlenskii-Schiff equation ⋮ Dynamical analysis of nonlocalized wave solutions of \((2 + 1)\)-dimensional CBS and RLW equation with the impact of fractionality and free parameters ⋮ Exact solutions for Calogero-Bogoyavlenskii-Schiff equation using symmetry method ⋮ New solutions of distinct physical structures to high-dimensional nonlinear evolution equations ⋮ New solitary wave solutions of some nonlinear evolution equations with distinct physical structures ⋮ Meromorphic exact solutions of the (2 + 1)-dimensional generalized Calogero-Bogoyavlenskii-Schiff equation ⋮ A generalized (2 + 1)-dimensional Calogaro-Bogoyavlenskii-Schiff equation: symbolic computation, symmetry reductions, exact solutions, conservation laws

Cites Work

• The Bogoyavlenskii-Schiff hierarchy and integrable equations in \((2+1)\) dimensions
• OVERTURNING SOLITONS IN NEW TWO-DIMENSIONAL INTEGRABLE EQUATIONS
• `Solitoff' Solutions of Nonlinear Evolution Equations

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