Deformed breather and rogue waves for the inhomogeneous fourth-order nonlinear Schrödinger equation in alpha-helical proteins
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Publication:6166309
DOI10.1007/s11071-020-05622-6zbMath1516.37120OpenAlexW3017396184MaRDI QIDQ6166309
Gao-Qing Meng, Xi-Yang Xie, Yu-Song Pan
Publication date: 2 August 2023
Published in: Nonlinear Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11071-020-05622-6
rogue wavegeneralized Darboux transformationalpha-helical proteindeformed breatherinhomogeneous fourth-order nonlinear Schrödinger equation
NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Soliton solutions (35C08)
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Cites Work
- Bilinear formalism, lump solution, lumpoff and instanton/rogue wave solution of a \((3+1)\)-dimensional B-type Kadomtsev-Petviashvili equation
- Rogue waves and hybrid solutions of the Davey-Stewartson I equation
- The integrability conditions and solutions of nonautonomous Hirota equation
- Numerical investigation of the stability of the rational solutions of the nonlinear Schrödinger equation
- Exact solutions of the nonlocal Hirota equations
- Davydov soliton evolution in temperature gradients driven by hyperbolic waves
- Elastic and inelastic collisions of the semirational solutions for the coupled Hirota equations in a birefringent fiber
- Bifurcation analysis of dissipative rogue wave in electron-positron-ion plasma with relativistic ions and superthermal electrons
- Vector breathers for the coupled fourth-order nonlinear Schrödinger system in a birefringent optical fiber
- Nonlinear dynamics of long-range diatomic chain
- On the quantum dynamics of Davydov solitons in protein \(\alpha\)-helices
- Nonautonomous solitons, breathers and rogue waves for the Gross-Pitaevskii equation in the Bose-Einstein condensate
- Darboux transformation of the coupled nonisospectral Gross-Pitaevskii system and its multi-component generalization
- Rogue wave solutions for a coupled nonlinear Schrödinger equation in the birefringent optical fiber
- Solitons and peakons of a nonautonomous Camassa-Holm equation
- Analytic solutions for the (2+1)-dimensional generalized sine-Gordon equations in nonlinear optics
- Interaction and energy transition between the breather and rogue wave for a generalized nonlinear Schrödinger system with two higher-order dispersion operators in optical fibers
- Effect of inhomogeneity in energy transfer through alpha helical proteins with interspine coupling
- Optimal homotopy analysis and control of error for implicitly defined fully nonlinear differential equations
- Two exciton energy transfer in an inhomogeneous alpha-helical protein chain
- Darboux transformations in integrable systems. Theory and their applications to geometry
- Solitary waves in an inhomogeneous chain of α-helical proteins
- Multisoliton interaction in discrete alpha-helical proteins with interspine coupling
- Jacobian elliptic solitons in inhomogeneous alpha-helical proteins
- Integrability and soliton in a classical one-dimensional site-dependent biquadratic Heisenberg spin chain and the effect of nonlinear inhomogeneity
- Phase space trajectories and Lyapunov exponents in the dynamics of an alpha-helical protein lattice with intra- and inter-spine interactions
- Integrability of an inhomogeneous nonlinear Schrödinger equation in Bose–Einstein condensates and fiber optics
- Darboux covariant Lax pairs and infinite conservation laws of the (2+1)-dimensional breaking soliton equation
- A generalized Davydov soliton model for energy transfer in alpha helical proteins
