The Bilinear Integrability, N-soliton and Riemann-theta function solutions of B-type KdV Equation

DOI10.1080/14029251.2015.1033241zbMath1420.35322OpenAlexW2008515244MaRDI QIDQ5230989

Lijuan Wu, Jian-qin Mei

Publication date: 29 August 2019

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

Full work available at URL: https://doi.org/10.1080/14029251.2015.1033241

zbMATH Keywords

Bäcklund transformationsoliton solutionbilinear integrabilityRiemann-theta function solution

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) NLS equations (nonlinear Schrödinger equations) (35Q55) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Cites Work

• A geometric study of the dispersionless Boussinesq type equation
• Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
• EXACT ONE-PERIODIC AND TWO-PERIODIC WAVE SOLUTIONS TO HIROTA BILINEAR EQUATIONS IN (2+1) DIMENSIONS
• Integrals of nonlinear equations of evolution and solitary waves
• Tau functions and Virasoro actions for soliton hierarchies
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