The nonlinear diffusion reaction dynamical system with quadratic and cubic nonlinearities with analytical investigations

DOI10.1142/S021797922050085XzbMath1439.35274OpenAlexW3020351570MaRDI QIDQ5115582

Dianchen Lu, Mujahid Iqbal, Aly R. Seadawy

Publication date: 16 August 2020

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

Full work available at URL: https://doi.org/10.1142/s021797922050085x

zbMATH Keywords

solitonsexact solutionstraveling wave solutionssolitary wave solutionsmodified mathematical methodnonlinear diffusion reaction equation

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Other special methods applied to PDEs (35A25) Traveling wave solutions (35C07) Soliton solutions (35C08)

Related Items (3)

Structure of analytical and symbolic computational approach of multiple solitary wave solutions for nonlinear Zakharov‐Kuznetsov modified equal width equation ⋮ Dispersive propagation of optical solitions and solitary wave solutions of Kundu-Eckhaus dynamical equation via modified mathematical method ⋮ Spatio-temporal dynamic solitary wave solutions and diffusion effects to the nonlinear diffusive predator-prey system and the diffusion-reaction equations

Cites Work

• Stability analysis for Zakharov-Kuznetsov equation of weakly nonlinear ion-acoustic waves in a plasma
• A further improved extended fan sub-equation method and its application to the \((3+1)\)-dimensional Kadomstev-Petviashvili equation
• Exact solutions of some nonlinear equations
• Exact solutions to a nonlinear diffusion equation
• Analytic solutions of the Nagumo equation
• Mixed lump-solitons, periodic lump and breather soliton solutions for (2 + 1)-dimensional extended Kadomtsev–Petviashvili dynamical equation
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