New types of doubly periodic standing wave solutions for the coupled Higgs field equation

DOI10.1155/2014/769561zbMath1474.35549OpenAlexW2165200948WikidataQ59041360 ScholiaQ59041360MaRDI QIDQ1724935

Gui-Qiong Xu

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/769561

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) PDEs in connection with quantum mechanics (35Q40) Soliton solutions (35C08) Mixed-type systems of PDEs (35M30)

Related Items (2)

Soliton dynamics to the Higgs equation and its multi-component generalization ⋮ Dynamics of localized wave solutions for the coupled Higgs field equation

Cites Work

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• Doubly periodic patterns of modulated hydrodynamic waves: exact solutions of the Davey-Stewartson system
• Solving the \((3+1)\)-dimensional generalized KP and BKP equations by the multiple exp-function algorithm
• Linear superposition principle applying to Hirota bilinear equations
• Some new soliton-like solutions and periodic wave solutions with loop or without loop to a generalized KdV equation
• New types of exact solutions for the fourth-order dispersive cubic-quintic nonlinear Schrödinger equation
• Exact solutions and Painlevé analysis of a new (2+1)-dimensional generalized KdV equation
• The binary \(F\)-expansion method and its application for solving the \((n + 1)\)-dimensional sine-Gordon equation
• A series of exact solutions for coupled Higgs field equation and coupled Schrödinger-Boussinesq equation
• An elliptic equation method and its applications in nonlinear evolution equations
• Elliptic functions and applications
• Two integrable differential-difference equations derived from the discrete BKP equation and their related equations
• Binary Bell polynomial manipulations on the integrability of a generalized (2+1)-dimensional Korteweg-de Vries equation
• Periodical solution to the nonlinear dissipative equation for surface waves in a convecting liquid layer
• A class of doubly periodic waves for nonlinear evolution equations
• Extended tanh-function method and its applications to nonlinear equations
• A Direct Method of Calculating Periodic Wave Solutions to Nonlinear Evolution Equations. I. Exact Two-Periodic Wave Solution
• Abundant soliton and periodic wave solutions for the coupled Higgs field equation, the Maccari system and the Hirota–Maccari system
• On Doubly Periodic Standing Wave Solutions of the Coupled Higgs Field Equation
• Rational solutions of a differential-difference KdV equation, the Toda equation and the discrete KdV equation
• The relations among a special type of solutions in some (D+1)-dimensional nonlinear equations
• Theta functions, Gaussian series, and spatially periodic solutions of the Korteweg–de Vries equation
• Algebraic-geometrical solutions of some multidimensional nonlinear evolution equations
• Negatons, positons, rational-like solutions and conservation laws of the Korteweg–de Vries equation with loss and non-uniformity terms
• A Bäcklund transformation and nonlinear superposition formula for the Belov-Chaltikian lattice
• A class of exact, periodic solutions of nonlinear envelope equations
• Quasi-periodic solutions of the modified Kadomtsev-Petviashvili equation
• Jacobi elliptic function expansion method and periodic wave solutions of nonlinear wave equations

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