On exact \(N\)-loop soliton solution to nonlinear coupled dispersionless evolution equations

DOI10.1016/j.physleta.2007.08.023zbMath1217.74063OpenAlexW2064699625MaRDI QIDQ552639

Victor K. Kuetche, Timoléon Créprin Kofané, Thomas Bouetou Bouetou

Publication date: 26 July 2011

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

Full work available at URL: https://doi.org/10.1016/j.physleta.2007.08.023

zbMATH Keywords

coupled dispersionless equationsSchäfer-Wayne short pulse equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Electromagnetic theory (general) (78A25) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items (12)

Loop soliton interaction in an integrable nonlinear telegraphy model: reciprocal and Bäcklund transformations ⋮ Modulational instability and position controllable discrete rogue waves with interaction phenomena in the semi-discrete complex coupled dispersionless system ⋮ Multi-soliton solutions and the Cauchy problem for a two-component short pulse system ⋮ Bi-Dbar-approach for a coupled shifted nonlocal dispersionless system ⋮ Hybrid rogue wave and breather solutions for the nonlinear coupled dispersionless evolution equations ⋮ A note on loop-soliton solutions of the short-pulse equation ⋮ Periodic wave solutions of coupled integrable dispersionless equations by residue harmonic balance ⋮ Soliton solutions of the semi-discrete complex coupled dispersionless integrable system ⋮ An integrable generalized Korteweg-de Vries equation with pseudo-peakons ⋮ Different kinds of exact solutions with two-loop character of the two-component short pulse equations of the first kind ⋮ Novel exact solutions to the short pulse equation ⋮ Notes on ``Different kinds of exact solutions with two-loop character of the two-component short pulse equations of the first kind

Cites Work

• Symplectic structures, their Bäcklund transformations and hereditary symmetries
• The bi-Hamiltonian structure of the short pulse equation
• Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
• Evolution equations possessing infinitely many symmetries
• Canonical formulation of a generalized coupled dispersionless system
• Loop Soliton Solutions of String Interacting with External Field
• On Equations Gauge Equivalent to the Sine-Gordon and Pohlmeyer-Lund-Regge Equations
• The Short Pulse Equation Is Integrable
• The Inverse Scattering Transform for the Benjamin‐Ono Equation—A Pivot to Multidimensional Problems
• Solitary wave solutions of the short pulse equation
• Integrals of nonlinear equations of evolution and solitary waves
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