Dispersive analytical soliton solutions of some nonlinear waves dynamical models via modified mathematical methods

DOI10.1186/s13662-018-1792-7zbMath1448.35430OpenAlexW2891872639MaRDI QIDQ1716029

Dianchen Lu, Asghar Ali, Aly R. Seadawy

Publication date: 29 January 2019

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-018-1792-7

zbMATH Keywords

Riccati equationBenney-Luke equationcomplex fractional Kundu-Eckhaus equationexact and solitary wave solutionsmodified F-expansion methodthe \((3 + 1)\)-dimensional modified Korteweg-de Vries-Zakharov-Kuznetsov equationvan der Waals normal form for fluidized granular matter equation

Mathematics Subject Classification ID

Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Soliton solutions (35C08)

Related Items (3)

Diverse exact soliton solutions of the time fractional Clannish random Walker's parabolic equation via dual novel techniques ⋮ Propagation of traveling wave solutions for nonlinear evolution equation through the implementation of the extended modified direct algebraic method ⋮ Weierstrass and Jacobi elliptic, Bell and kink type, lumps, Ma and Kuznetsov breathers with rogue wave solutions to the dissipative nonlinear Schrödinger equation

Cites Work

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• Travelling wave solutions of Drinfel'd-Sokolov-Wilson, Whitham-Broer-Kaup and \((2+1)\)-dimensional Broer-Kaup-Kupershmit equations and their applications
• Bifurcations of traveling wave solutions for Dodd-Bullough-Mikhailov equation and coupled Higgs equation and their applications
• Optical solitons, nonlinear self-adjointness and conservation laws for Kundu-Eckhaus equation

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