An exact solution for the modified nonlinear Schrödinger’s equation for Davydov solitons in α-helix proteins

Solitons in Alpha-Helix Proteins by He's Variational Principle

“…Transport of biological energy is carried out by the so-called Davydov solitons which freely travel through the system [9]. The prediction of soliton formation is numerically confirmed [3]. Such energy transfer model gained attention because of its application in nanotechnologies, information storage devices and biosensors.…”

“…Thus, (2) represents the dynamics of α-helix proteins with internal molecular excitations and their interactions with the nearest and next-nearest neighbors as well as nonlinear couplings between molecular excitations and interactions [2].…”

“…The energy and charge transport in biological systems is an important problem that became clear in 1973 when Davydov proposed a model for the energy transport in quasi one-dimensional biological systems [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20]. Transport of biological energy is carried out by the so-called Davydov solitons which freely travel through the system [9].…”

“…The multiple-scale approach was used to carry out the derivation of the model from the basic principles where the perturbation terms appear. Later, this perturbed NLSE was solved by the ansatz method in 2010 [3]. Furthermore the stationary solutions of the same model was obtained in 2010 [2].…”

“…Later, this perturbed NLSE was solved by the ansatz method in 2010 [3]. Furthermore the stationary solutions of the same model was obtained in 2010 [2]. This equation was further analyzed by several other authors using various other mathematical techniques.…”