New soliton and periodic wave solutions to the fractional DGH equation describing water waves in a shallow regime

DOI10.1007/s12346-022-00682-yOpenAlexW4308112116MaRDI QIDQ2099679

Santanu Saha Ray

Publication date: 24 November 2022

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

Full work available at URL: https://doi.org/10.1007/s12346-022-00682-y

zbMATH Keywords

auxiliary equation methodmodified Riemann-Liouville derivativespace-time fractional Dullin-Gottwald-Holm equation

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A new fractional Jacobi elliptic equation method for solving fractional partial differential equations
• New exact periodic wave solutions for the Dullin-Gottwald-Holm equation
• New exact solutions of nonlinear fractional acoustic wave equations in ultrasound
• Fractional variational iteration method for fractional initial-boundary value problems arising in the application of nonlinear science
• The auxiliary equation method for solving the Zakharov-Kuznetsov (ZK) equation
• Partial differential equations and solitary waves theory
• Application of exp-function method to Dullin-Gottwald-Holm equation
• Auxiliary equation method for time-fractional differential equations with conformable derivative
• New exact soliton solutions of the \((3+1)\)-dimensional conformable Wazwaz-Benjamin-Bona-Mahony equation via two novel techniques
• Improved fractional sub-equation method for \((3+1)\)-dimensional generalized fractional KdV-Zakharov-Kuznetsov equations
• Fractional complex transform and exp-function methods for fractional differential equations
• Dispersive optical solitons of time-fractional Schrödinger-Hirota equation in nonlinear optical fibers
• Exact solutions for time-fractional diffusion-wave equations by decomposition method
• Exact solutions of nonlinear time fractional partial differential equations by sub‐equation method
• Generalized Fractional Order Differential Equations Arising in Physical Models
• Novel soliton solutions of the fractal Biswas–Milovic model arising in Photonics
• Dispersive of propagation wave solutions to unidirectional shallow water wave Dullin–Gottwald–Holm system and modulation instability analysis
• Nonlinear Differential Equations in Physics
• Fractional Calculus with Applications for Nuclear Reactor Dynamics

This page was built for publication: New soliton and periodic wave solutions to the fractional DGH equation describing water waves in a shallow regime