We have studied the onset process of dynamic transformation of the internal structure of a moving domain wall ͑DW͒ in soft magnetic thin film nanostrips, driven by applied magnetic fields larger than the Walker field strength, H w . It was found that one of the edge-soliton cores of a transverse wall ͑TW͒-type DW should reach a critical nucleation size of the vortex core by moving inward beyond a critical deviation, ⌬y cri , in the transverse ͑width͒ direction, in order for the transformation from a TW to a vortex wall ͑VW͒ ͑or antivortex wall, AVW͒ to occur. The value of ⌬y cri is estimated to be close to the full width at half maximum of the out-of-plane magnetizations of a stabilized vortex core ͑or antivortex core͒. Upon completion of the nucleation of the vortex ͑antivortex͒ core, the VW ͑AVW͒ is stabilized, accompanying its characteristic gyrotropic motion in a potential well ͑hill͒ of a given nanostrip. Field strengths exceeding the H w , the onset field of DW velocity breakdown, are not sufficient but necessary conditions for the dynamic DW transformations. DOI: 10.1103/PhysRevB.80.012402 PACS number͑s͒: 75.60.Ch, 75.70.Kw, 75.75.ϩa Numerous recent studies in the fields of nanomagnetism and magnetization ͑M͒ dynamics have focused on magnetic field and/or current driven dynamic motions of domain walls ͑DWs͒ in patterned magnetic thin film nanostrips, 1-7 owing to the potential applications to solid-state data storage and logic devices. [8][9][10][11][12][13][14] One of the most fundamental issues in this field is the underlying physics of the breakdown of DW velocity and oscillatory DW motions under magnetic fields exceeding a threshold field known as the Walker field, H w . This question has been approached by Walker, 15 Thiaville et al., 16 and Nakatani et al. 3 within the context of one-dimensional ͑1D͒ models. These 1D models, however, can partially explain the linear increases of DW velocity with the field strength in a low-field regime, as well as the Walker breakdown behaviors in an intermediate-field regime.Alternatively, two-dimensional ͑2D͒ dynamic soliton models recently developed by Lee et al., 17 Tretiakov et al.,18,19 and Guslienko et al. 20 have begun to render general explanations of the DW dynamics in the low-field and intermediate-field regimes with reference to the dynamic transformation of the internal structure of a moving DW between transverse wall ͑TW͒ and antivortex wall ͑AVW͒ or vortex wall ͑VW͒. According to these 2D models, dynamic transformations are just the results of serial processes of the nucleation ͑emission͒, gyrotropic motion ͑propagation͒, and annihilation ͑absorption͒ of topological solitons such as vortex ͑V͒ or antivortex ͑AV͒ with the conservation of total topological charges inside a given nanostrip. [17][18][19][20] In addition, DW dynamics and its related M reversals under higher magnetic fields beyond the Walker breakdown regime can be explained through the nucleation and annihilation of the V-AV pairs. [21][22][23] Although such nontrivial novel DW dynam...