Rational solutions and their interactions with kink and periodic waves for a nonlinear dynamical phenomenon

DOI10.1142/S0217979221502362zbMath1490.35099OpenAlexW3193409674MaRDI QIDQ5068256

Maria Hanif, M. Aamir Ashraf, Muhammad Younis, Aly R. Seadawy, Syed Tahir Raza Rizvi

Publication date: 6 April 2022

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

Full work available at URL: https://doi.org/10.1142/s0217979221502362

zbMATH Keywords

ansatz transformationsMaccari-systemmultiple-lump solitons

Mathematics Subject Classification ID

Transform methods (e.g., integral transforms) applied to PDEs (35A22) NLS equations (nonlinear Schrödinger equations) (35Q55) Solutions to PDEs in closed form (35C05) Soliton solutions (35C08)

Related Items (6)

Multiwaves, homoclinic breathers, interaction solutions along with black-grey solitons for propagation in absence of self-phase modulation with higher order dispersions ⋮ Multi-peak and rational soliton propagations for (3 + 1)-dimensional generalized Konopelchenko–Dubrovsky–Kaup Kupershmidt model in fluid mechanics, ocean dynamics and plasma physics ⋮ The Weierstrass and Jacobi elliptic solutions along with multiwave, homoclinic breather, kink-periodic-cross rational and other solitary wave solutions to Fornberg Whitham equation ⋮ Multiple lump, generalized breathers, Akhmediev breather, manifold periodic and rogue wave solutions for generalized FitzHugh-Nagumo equation: applications in nuclear reactor theory ⋮ On modulation instability analysis and rogue waves in the presence of external potential: the \((n+1)\)-dimensional nonlinear Schrödinger equation ⋮ Discussion on rational solutions for nematicons in liquid crystals with Kerr law

Cites Work

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• New solitary wave solutions of some nonlinear models and their applications
• Lump-type solutions and interaction solutions for the \((2+1)\)-dimensional generalized fifth-order KdV equation
• Exact solutions of the nonlocal Hirota equations
• New generalized soliton solutions for a \((3 + 1)\)-dimensional equation
• Closed form solutions for coupled nonlinear Maccari system
• The extended \(F\)-expansion method and its application for a class of nonlinear evolution equations
• Bifurcations of Solitary Waves of a Simple Equation
• The Kadomtsev–Petviashvili equation as a source of integrable model equations

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