Lie symmetry analysis for obtaining exact soliton solutions of generalized Camassa–Holm–Kadomtsev–Petviashvili equation

DOI10.1142/S0217979221500284zbMath1455.35222OpenAlexW3115376208MaRDI QIDQ4965697

Ihsanullah Hamid, Monika Niwas, Sachin Kumar

Publication date: 9 March 2021

Published in: International Journal of Modern Physics B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0217979221500284

zbMATH Keywords

solitonsexact soliton solutionsLie symmetry reductions\((2+1)\)-dimensional \(g\)-CHKP equationGERF method

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Solutions to PDEs in closed form (35C05) Soliton solutions (35C08)

Related Items

Lie symmetries of generalized equal width wave equations, A plentiful supply of soliton solutions for DNA Peyrard–Bishop equation by means of a new auxiliary equation strategy, Generalized exponential rational function for distinct types solutions to the conformable resonant Schrödinger’s equation, Analytical solitons for the space-time conformable differential equations using two efficient techniques, Symmetry reductions, generalized solutions and dynamics of wave profiles for the \((2+1)\)-dimensional system of Broer-Kaup-Kupershmidt (BKK) equations, Abundant different types of exact soliton solution to the (4+1)-dimensional Fokas and (2+1)-dimensional breaking soliton equations, Travelling-wave, mixed-lump-kink and mixed-rogue-wave-kink solutions for an extended \((3+1)\)-dimensional shallow water wave equation in oceanography and atmospheric science, Lie group of invariance technique for analyzing propagation of strong shock wave in a rotating non‐ideal gas with azimuthal magnetic field, Optimal subalgebra of GKP by using Killing form, conservation law and some more solutions

Uses Software

• Mathematica

Cites Work

• Unnamed Item
• Exact solitary wave solutions of the Kadomtsov-Petviashvili-Benjamin-Bona-Mahony equation
• Explicit solutions of (2 + 1)-dimensional nonlinear KP-BBM equation by using exp-function method
• 1-soliton solution of the generalized Camassa-Holm Kadomtsev-Petviashvili equation
• Peakons and coshoidal waves: Traveling wave solutions of the Camassa-Holm equation
• Some invariant solutions of field equations with axial symmetry for empty space containing an electrostatic field
• Painlevé analysis and invariant solutions of generalized fifth-order nonlinear integrable equation
• Explicit solutions and stability analysis of the \((2+1)\) dimensional KP-BBM equation with dispersion effect
• The Camassa-Holm-KP equations with compact and noncompact travelling wave solutions
• INVARIANT SOLUTIONS OF EINSTEIN FIELD EQUATION FOR NONCONFORMALLY FLAT FLUID SPHERES OF EMBEDDING CLASS ONE
• An integrable shallow water equation with peaked solitons
• On symmetries and exact solutions of the Einstein–Maxwell field equations via the symmetry approach
• Solitary Wave Solutions to the ZKBBM Equation and the KPBBM Equation Via the Modified Simple Equation Method
• Symmetries and differential equations