Bilinear approach to the quasi-periodic wave solutions of modified Nizhnik-Novikov-Vesselov equation in (2+1) dimensions

DOI10.1016/j.physleta.2010.05.034zbMath1237.35140OpenAlexW2030993398MaRDI QIDQ415160

Lin Luo, En-gui Fan

Publication date: 11 May 2012

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

Full work available at URL: https://doi.org/10.1016/j.physleta.2010.05.034

zbMATH Keywords

Riemann theta functionHirota bilinear methodmodified Nizhnik-Novikov-Vesselov equationquasi-periodic wave solutions

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Almost and pseudo-almost periodic solutions to PDEs (35B15) Theta functions and abelian varieties (14K25) Traveling wave solutions (35C07)

Related Items (3)

A numerical study of the 3-periodic wave solutions to KdV-type equations ⋮ A Numerical Study of the 3-Periodic Wave Solutions to Toda-Type Equations ⋮ EXACT SOLITON SOLUTIONS AND QUASI-PERIODIC WAVE SOLUTIONS TO THE FORCED VARIABLE-COEFFICIENT KdV EQUATION

Cites Work

• Tata lectures on theta. III
• A Method for Finding N-Soliton Solutions of the K.d.V. Equation and K.d.V.-Like Equation
• Nonlinear Evolution Equations Generated from the Backlund Transformation for the Boussinesq Equation
• Decomposition of the (2 + 1)- dimensional Gardner equation and its quasi-periodic solutions
• Rational solutions of a differential-difference KdV equation, the Toda equation and the discrete KdV equation
• Periodic wave solutions of the Boussinesq equation
• An integrable semi-discretization of the Camassa–Holm equation and its determinant solution
• Quasi-periodic waves and an asymptotic property for the asymmetrical Nizhnik–Novikov–Veselov equation
• Relation between the Kadometsev–Petviashvili equation and the confocal involutive system
• The finite-band solution of the Jaulent–Miodek equation
• On the geometry of an integrable (2+1)–dimensional sine–Gordon system
• Infinitely many Lax pairs and symmetry constraints of the KP equation
• An integrable symmetric (2+1)-dimensional Lotka–Volterra equation and a family of its solutions
• The Interactions of Solitons in (2+1)-Dimensional Modified Nizhnik–Novikov–Vesselov Equation

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