We have developed an analytical model based on the perturbation theory in order to study the optical propagation of two successive intense solitons in hollow-core photonic crystal fibers filled with Raman-active gases. Based on the time delay between the two solitons, we have found that the trailing soliton dynamics can experience unusual nonlinear phenomena such as spectral and temporal soliton oscillations and transport towards the leading soliton. The overall dynamics can lead to a spatiotemporal modulation of the refractive index with a uniform temporal period and a uniform or chirped spatial period.Raman scattering involves the transfer of a small fraction of energy of an optical field to another field at longer wavelengths via inelastic scattering with optical phonons supplied by the medium. The Raman self-frequency redshift, first observed in conventional optical fibers [1][2][3], can continuously downshift the central frequency of a single pulse during propagation. With the invention of solid-silica-core photonic crystal fibers (PCFs) [4,5], this process has been demonstrated and extensively exploited in attaining a broad supercontinuum [6]. The main ingredients are the high confinement of light and tunability dispersion provided by these fibers. Gas-filled hollowcore (HC) PCFs with Kagome lattice have become a strong competitor for solid-silica-core PCFs [7,8]. Besides the latter benefits, a wide range of gases with different properties offers several opportunities to demonstrate new phenomena and applications using optical fibers [9][10][11][12][13][14][15][16][17][18][19][20].Raman scattering processes in gases are characterized by having very long molecular coherence relaxation (dephasing) time (∼ps), at least three orders of magnitude higher than silica glass. Within this time, the medium possesses a high non-instantaneous nonlinear response. A Raman-induced continuous downshift of the frequency of an ultrashort pulse propagating in a gas has been observed [21]. Moreover, a sinusoidal temporal modulation of the medium refractive index lagging the pulse has been detected by launching a delayed weak probe within the dephasing time [21][22][23]. Very recently, we have treated this modulation as a periodic temporal crystal [20] and we have proposed to use hydrogen-filled HC-PCFs to observe the analogue condensed matter physics phenomena, such as the Wannier-Stark ladder [24], the Bloch oscillations [25] and Zener tunneling [26]. In this Letter, we investigate the case when the delayed pulse is another strong fundamental soliton rather than a weak probe pulse as in [20]. The delayed soliton can be treated as a particle in a moving periodic potential induced by the * Corresponding author: m.saleh@hw.ac.uk leading soliton. Phenomena such as spectral and temporal soliton oscillations as well as upgrading the temporal crystal to a spatiotemporal one are predicted here.Pulse propagation in Raman-active gases is governed by the interplay between the Maxwell equations and the Bloch equations of an effective two...