A new fourth-order integrable nonlinear equation: breather, rogue waves, other lump interaction phenomena, and conservation laws

DOI10.1186/S13662-021-03352-6zbMath1494.35138OpenAlexW3164800154MaRDI QIDQ2166912

Ali Saleh Alshomrani, Malik Zaka Ullah, Dumitru Baleanu

Publication date: 25 August 2022

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

Full work available at URL: https://doi.org/10.1186/s13662-021-03352-6

zbMATH Keywords

conservation lawsinteraction solutionslump solutionsinvariant analysisfourth-order integrable nonlinear 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)

Conservation laws and exact solutions of the \((3+1)\)-dimensional Jimbo-Miwa equation ⋮ Bilinear representation, bilinear Bäcklund transformation, Lax pair and analytical solutions for the fourth-order potential Ito equation describing water waves via Bell polynomials ⋮ A study of periodic solutions and periodic background solutions for the reverse-space-time modified nonlinear Schrödinger equation

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