Coupled Higgs equation: novel solution via GSSE method, bifurcation and chaotic patterns and series solution via symmetry

DOI10.1007/s12346-023-00889-7zbMath1526.35040MaRDI QIDQ6059216

No author found.

Publication date: 2 November 2023

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

zbMATH Keywords

fractional derivativeLie symmetrycoupled Higgs equationgeneralized Sardar sub-equation method

Mathematics Subject Classification ID

Soliton equations (35Q51) Bifurcations in context of PDEs (35B32) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60) Symmetries, invariants, etc. in context of PDEs (35B06)

Cites Work

• Unnamed Item
• Bilinear neural network method to obtain the exact analytical solutions of nonlinear partial differential equations and its application to p-gBKP equation
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Symmetry and integration methods for differential equations
• Lump solutions to nonlinear partial differential equations via Hirota bilinear forms
• The analysis of solitonic, supernonlinear, periodic, quasiperiodic, bifurcation and chaotic patterns of perturbed Gerdjikov-Ivanov model with full nonlinearity
• On group of Lie symmetry analysis, explicit series solutions and conservation laws for the time-fractional (2 + 1)-dimensional Zakharov-Kuznetsov \((q,p,r)\) equation
• Novel trial functions and rogue waves of generalized breaking soliton equation via bilinear neural network method
• On nonclassical symmetries, Painlevé analysis and singular, periodic and solitary wave solutions of generalized Hirota-Satsuma coupled KdV system
• A new generalized approach for soliton solutions and generalized symmetries of time-fractional partial differential equation
• Generalized lump solutions, classical lump solutions and rogue waves of the (2+1)-dimensional Caudrey-Dodd-Gibbon-Kotera-Sawada-like equation
• Solitary and rogue wave solutions to the conformable time fractional modified Kawahara equation in mathematical physics
• Nonlinear partial differential equations in engineering
• Fractal solitons, arbitrary function solutions, exact periodic wave and breathers for a nonlinear partial differential equation by using bilinear neural network method
• Bifurcations and exact solutions of a new \((3+1)\)-dimensional Kadomtsev-Petviashvili equation
• Resonance, fusion and fission dynamics of bifurcation solitons and hybrid rogue wave structures of Sawada-Kotera equation
• On invariant analysis of some time fractional nonlinear systems of partial differential equations. I
• On invariant analysis of space-time fractional nonlinear systems of partial differential equations. II
• Jacobi elliptic function expansion method and periodic wave solutions of nonlinear wave equations
• Analysis of lumps, single-stripe, breather-wave, and two-wave solutions to the generalized perturbed-KdV equation by means of Hirota's bilinear method
• An extended \((2 + 1)\)-dimensional coupled Burgers system in fluid mechanics: symmetry reductions; Kudryashov method; conservation laws

This page was built for publication: Coupled Higgs equation: novel solution via GSSE method, bifurcation and chaotic patterns and series solution via symmetry