Patients with gastric cancer in China have worse outcome and poorer prognosis. Tumor-induced lymphangiogenesis plays a crucial role metastasis tumor progression. The intratumoral peritumoral lymphatics were supposed to different biological effects. Three major growth factors, vascular endothelial factor- (VEGF)-A, VEGF-C VEGF-D, are involved the activation process via their receptors (VEGFRs). purpose of current study is investigate significant difference between lymphatic vessel density...

Using an extended mapping approach, a new type of variable separation excitation with two arbitrary functions the (2+1)-dimensional Broer-Kaup-Kupershmidt system (BKK) is derived. Based on this excitation, abundant propagating and non-propagating solitons, such as dromions, rings, peakons, compactons, etc. are found by selecting appropriate functions. - PACS: 05.45.Yv, 03.65.Ge

By an improved mapping approach, a series of excitations the (2+1)-dimensional Boiti-Leon-Pempinelli system (BLP) is derived. Based on derived solitary wave excitation, we obtain some special chaotic solitons and interaction between solitons.

By an improved mapping approach, Bcklund transformation approach and a variable separation series of excitations the (2+1)-dimensional generalized Breor-Kaup (GBK) system is derived. Based on derived excitations, we find some complex waves GBK equation. Then discussed evolution dromion solitions in background Jacobi sine waves.

Applying the improved mapping approach and variable separation method to (3+1)-dimensional Burgers system，the new exact solutions of system is derived. Based on derived solitary wave solution，we obtained some special soliton structures，such as cylinder-like soliton，tapered embeded-solitons，and interactions between solitons are discuessed.

In this paper, an improved projective approach is used to obtain the variable separation solutions with two arbitrary functions of (2+1)-dimensional Broek-Kaup equation coefficients (VCBK). Based on derived solitary wave solution and using a known chaotic system, some novel are investigated.

With the help of an extended mapping approach, a series new types exact excitations with two arbitrary functions (2+1)-dimensional Broer–Kaup–Kupershmidt (BKK) system is derived. Based on derived solitary wave excitation, some specific soliton fission and fusion solutions higher-dimensional BKK are also obtained.

Starting from an extended mapping approach, a new type of variable separation solution with arbitrary functions generalized (2+1)-dimensional Broer–Kaup system (GBK) is derived. Then based on the derived solitary wave solution, we obtain some specific chaotic solitons to GBK system.

Using an extended Riccati mapping approach,we obtain a new type of varable separation solutions for the (2+1)-dimensional Boiti-Leon-Pempinelli system.Based on derived solutions,two kinds soliton excitations,i.e.rectangle-like and fractal are constructed in this paper.

Starting from an improved mapping approach and a linear variable separation approach, new family of exact solutions (including solitary wave solutions, periodic rational function solutions) with arbitrary functions for general (2+1)-dimensional Korteweg de Vries system (GKdV) is derived. According to the derived we obtain some novel dromion-lattice solitons, complex excitations chaotic patterns GKdV system.

With the help of Maple symbolic computation system and projective equation approach, a new family variable separation solutions with arbitrary functions for (2+1)-dimensional generalized Breor—Kaup (GBK) is derived. Based on derived solitary wave solution, some chaotic behaviors GBK are investigated.

Abstract In this work, a novel phenomenon that localized coherent structures of (2+1)-dimensional physical model possess fractal properties is discussed. To clarify interesting phenomenon, we take the Boiti-Leon-Pempinelli (BLP) system as concrete example. First, with help an extended mapping approach, new type variable separation solution two arbitrary functions derived. Based on derived solitary wave excitation, reveal some special regular and stochastic solitons in BLP system. - PACS:...

Using an entended Riccati mapping approach, we discuss the related Schr?dinger system and obtain new exact solutions. Based on derived solutions, soliton-impulse temporal-soliton interaction between solitons were constructed in this paper.

By means of an improved mapping method and a variable separation method, series solutions (including solitary wave solutions, periodic rational function solutions) to the (2+1)-dimensional breaking soliton system is derived. Based on derived excitation, we obtain some special annihilation solitons chaotic in this short note.

In this short note, a new projective equation (φ' = σφ + φ2) is used to obtain the variable separation solutions with two arbitrary functions of (2+1)-dimensional Boiti–Leon–Manna–Pempinelli system (BLMP). Based on derived solitary wave solution and by selecting appropriate functions, some novel localized excitations such as multi dromion-solitoffs fractal-solitons are investigated.

By means of an extended mapping approach, a new type variable-separation excitation is derived with two arbitrary functions in (2+1)-dimensional modified dispersive water-wave system. Based on the excitation, abundant nonpropagating and propagating solitons such as dromions, rings, peakons compactons are revealed by selecting appropriate this paper.

With an improved mapping approach, a series of excitations the (2+1)-dimensional modified dispersive water-wave (MDWW) system is derived. Based on derived solitary wave excitation, we obtain some special chaotic solitons. - PACS numbers: 05.45.Yv, 03.65.Ge