Families of symmetric embedded solitary waves of a perturbed Fifth-order Korteweg–de Vries (FKdV) system were treated in Choudhury et al. (2022) using perturbative and reversible systems techniques. Here, the stability of those solutions, which was not considered in the earlier paper, is detailed. In addition, the results of Choudhury et al. (2022) are extended to the case of asymmetric solitary waves, as well as their stability. Finally, other novel multi-humped regular solitary waves of this system are derived using convergent infinite series solutions for the homoclinic orbits of the FKdV-traveling wave equation

Sudipto Roy Choudhury, Gaetana Gambino, Ranses Alfonso Rodriguez (2024). Stability and dynamics of regular and embedded solitons of a perturbed Fifth-order KdV equation. PHYSICA D-NONLINEAR PHENOMENA, 460, 1-13 [10.1016/j.physd.2024.134056].

Stability and dynamics of regular and embedded solitons of a perturbed Fifth-order KdV equation

Gaetana Gambino
;
2024-04-01

Abstract

Families of symmetric embedded solitary waves of a perturbed Fifth-order Korteweg–de Vries (FKdV) system were treated in Choudhury et al. (2022) using perturbative and reversible systems techniques. Here, the stability of those solutions, which was not considered in the earlier paper, is detailed. In addition, the results of Choudhury et al. (2022) are extended to the case of asymmetric solitary waves, as well as their stability. Finally, other novel multi-humped regular solitary waves of this system are derived using convergent infinite series solutions for the homoclinic orbits of the FKdV-traveling wave equation
apr-2024
Settore MAT/07 - Fisica Matematica
Sudipto Roy Choudhury, Gaetana Gambino, Ranses Alfonso Rodriguez (2024). Stability and dynamics of regular and embedded solitons of a perturbed Fifth-order KdV equation. PHYSICA D-NONLINEAR PHENOMENA, 460, 1-13 [10.1016/j.physd.2024.134056].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/622428
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