Painlevé integrability and a collection of new wave structures related to an important model in shallow water waves

DOI10.1088/1572-9494/acd999zbMath1519.35265MaRDI QIDQ6168251

Saima Arshed, Isma Ghulam Murtaza, Nauman Raza

Publication date: 8 August 2023

Published in: Communications in Theoretical Physics (Search for Journal in Brave)

zbMATH Keywords

solitonPainlevé testsingular manifold methodshallow water waves

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Soliton equations (35Q51) Traveling wave solutions (35C07) Soliton solutions (35C08)

Cites Work

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• Abundant families of Jacobi elliptic function solutions of the \((2+1)\)-dimensional integrable Davey-Stewartson-type equation via a new method
• Beholding the shallow water waves near an ocean beach or in a lake via a Boussinesq-Burgers system
• Painlevé test for some \((2+1)\)-dimensional nonlinear equations
• Applications of F-expansion to periodic wave solutions for a new Hamiltonian amplitude equa\-tion
• Abundant Exact Traveling Wave Solutions of Generalized Bretherton Equation via Improved ( G ′/ G )-Expansion Method
• Exponential rational function method for space–time fractional differential equations
• Solving nonlinear fractional partial differential equations using the homotopy analysis method

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